59134080625 has 45 divisors (see below), whose sum is σ = 75500434471. Its totient is φ = 46300520000.

The previous prime is 59134080623. The next prime is 59134080631. The reversal of 59134080625 is 52608043195.

The square root of 59134080625 is 243175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 40859366769 + 18274713856 = 202137^2 + 135184^2 .

It is not a de Polignac number, because 59134080625 - 2¹ = 59134080623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (59134080623) by changing a digit.

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, 431635557 + ... + 431635693.

Almost surely, 2^59134080625 is an apocalyptic number.

59134080625 is the 243175-th square number.

59134080625 is the 121588-th centered octagonal number.

It is an amenable number.

59134080625 is a deficient number, since it is larger than the sum of its proper divisors (16366353846).

59134080625 is an frugal number, since it uses more digits than its factorization.

59134080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 59134080625 in words is "fifty-nine billion, one hundred thirty-four million, eighty thousand, six hundred twenty-five".