59905010025 has 315 divisors, whose sum is σ = 133533140181. Its totient is φ = 26645008320.

The previous prime is 59905009943. The next prime is 59905010059. The reversal of 59905010025 is 52001050995.

The square root of 59905010025 is 244755.

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

59905010025 is a `hidden beast` number, since 599 + 0 + 50 + 10 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5686818921 + 54218191104 = 75411^2 + 232848^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 59905010025 - 2²¹ = 59902912873 is a prime.

It is a super-2 number, since 2×59905010025² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 1619054307 + ... + 1619054343.

Almost surely, 2^59905010025 is an apocalyptic number.

59905010025 is the 244755-th square number.

59905010025 is the 122378-th centered octagonal number.

It is an amenable number.

59905010025 is an abundant number, since it is smaller than the sum of its proper divisors (73628130156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

59905010025 is an frugal number, since it uses more digits than its factorization.

59905010025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

Multiplying 59905010025 by its sum of digits (36), we get a square (2156580360900 = 1468530²).

The spelling of 59905010025 in words is "fifty-nine billion, nine hundred five million, ten thousand, twenty-five".