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52897700025 = 34521922692
BaseRepresentation
bin110001010000111100…
…101101100010111001
312001112112100120210000
4301100330231202321
51331313302400100
640144553143213
73551566013532
oct612074554271
9161475316700
1052897700025
1120485410a65
12a3033bab09
134cb01b6921
1427bb507689
151598e7c900
hexc50f2d8b9

52897700025 has 135 divisors (see below), whose sum is σ = 103799213661. Its totient is φ = 26627901120.

The previous prime is 52897700003. The next prime is 52897700077. The reversal of 52897700025 is 52000779825.

It is a happy number.

The square root of 52897700025 is 229995.

It is a perfect power (a square), and thus also a powerful number.

52897700025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20290008249 + 32607691776 = 142443^2 + 180576^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 52897700025 - 211 = 52897697977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 196645591 + ... + 196645859.

Almost surely, 252897700025 is an apocalyptic number.

52897700025 is the 229995-th square number.

52897700025 is the 114998-th centered octagonal number.

It is an amenable number.

52897700025 is a deficient number, since it is larger than the sum of its proper divisors (50901513636).

52897700025 is an equidigital number, since it uses as much as digits as its factorization.

52897700025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 52897700025 in words is "fifty-two billion, eight hundred ninety-seven million, seven hundred thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 135 171 225 269 285 361 405 475 513 675 807 855 1083 1345 1425 1539 1805 2025 2421 2565 3249 4035 4275 5111 5415 6725 7263 7695 9025 9747 12105 12825 15333 16245 20175 21789 25555 27075 29241 36315 38475 45999 48735 60525 72361 76665 81225 97109 108945 127775 137997 146205 181575 217083 229995 243675 291327 361805 383325 413991 485545 544725 651249 689985 731025 873981 1085415 1149975 1374859 1456635 1809025 1953747 2069955 2427725 2621943 3256245 3449925 4124577 4369905 5427075 5861241 6874295 7283175 7865829 9768735 10349775 12373731 13109715 16281225 20622885 21849525 26122321 29306205 34371475 37121193 39329145 48843675 61868655 65548575 78366963 103114425 111363579 130611605 146531025 185605965 196645725 235100889 309343275 391834815 556817895 653058025 705302667 928029825 1175504445 1959174075 2115908001 2784089475 3526513335 5877522225 10579540005 17632566675 52897700025