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53234025625 = 541128392
BaseRepresentation
bin110001100100111111…
…101100010010011001
312002101222012200202201
4301210333230102121
51333010402310000
640242205530201
73563121515614
oct614477542231
9162358180681
1053234025625
1120638246400
12a397b73961
135034a92961
14281005517b
1515b876496a
hexc64fec499

53234025625 has 45 divisors (see below), whose sum is σ = 73205639353. Its totient is φ = 38669510000.

The previous prime is 53234025617. The next prime is 53234025679. The reversal of 53234025625 is 52652043235.

The square root of 53234025625 is 230725.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4173547609 + 49060478016 = 64603^2 + 221496^2 .

It is not a de Polignac number, because 53234025625 - 23 = 53234025617 is a prime.

It is a super-2 number, since 2×532340256252 (a number of 22 digits) contains 22 as substring.

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 44 ways as a sum of consecutive naturals, for example, 63448956 + ... + 63449794.

Almost surely, 253234025625 is an apocalyptic number.

53234025625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53234025625 is the 230725-th square number.

53234025625 is the 115363-rd centered octagonal number.

It is an amenable number.

53234025625 is a deficient number, since it is larger than the sum of its proper divisors (19971613728).

53234025625 is an frugal number, since it uses more digits than its factorization.

53234025625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 37.

The spelling of 53234025625 in words is "fifty-three billion, two hundred thirty-four million, twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 625 839 1375 3025 4195 6875 9229 15125 20975 46145 75625 101519 104875 230725 507595 524375 703921 1153625 2537975 3519605 5768125 7743131 12689875 17598025 38715655 63449375 85174441 87990125 193578275 425872205 439950625 967891375 2129361025 4839456875 10646805125 53234025625