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51372489025 = 521121323172
BaseRepresentation
bin101111110110000010…
…011111100101000001
311220121020101211121201
4233312002133211001
51320202324122100
635333350421201
73466025644324
oct576602374501
9156536354551
1051372489025
111a872481400
129b58661801
134ac9208400
1426b4b207bb
15150a10336a
hexbf609f941

51372489025 has 81 divisors (see below), whose sum is σ = 76059788763. Its totient is φ = 34379030400.

The previous prime is 51372488963. The next prime is 51372489037. The reversal of 51372489025 is 52098427315.

The square root of 51372489025 is 226655.

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

It can be written as a sum of positive squares in 13 ways, for example, as 47068604209 + 4303884816 = 216953^2 + 65604^2 .

It is not a de Polignac number, because 51372489025 - 213 = 51372480833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 162058167 + ... + 162058483.

Almost surely, 251372489025 is an apocalyptic number.

51372489025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51372489025 is the 226655-th square number.

51372489025 is the 113328-th centered octagonal number.

It is an amenable number.

51372489025 is a deficient number, since it is larger than the sum of its proper divisors (24687299738).

51372489025 is a wasteful number, since it uses less digits than its factorization.

51372489025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 51372489025 in words is "fifty-one billion, three hundred seventy-two million, four hundred eighty-nine thousand, twenty-five".

Divisors: 1 5 11 13 25 55 65 121 143 169 275 317 325 605 715 845 1573 1585 1859 3025 3487 3575 4121 4225 7865 7925 9295 17435 20449 20605 38357 39325 45331 46475 53573 87175 100489 102245 103025 191785 226655 267865 498641 502445 511225 589303 958925 1105379 1133275 1306357 1339325 2493205 2512225 2946515 5526895 6482333 6531785 12159169 12466025 14369927 14732575 16982641 27634475 32411665 32658925 60795845 71849635 84913205 158069197 162058325 186809051 303979225 359248175 424566025 790345985 934045255 2054899561 3951729925 4670226275 10274497805 51372489025