59934384225 has 81 divisors (see below), whose sum is σ = 113428509363. Its totient is φ = 30247382880.

The previous prime is 59934384217. The next prime is 59934384271. The reversal of 59934384225 is 52248343995.

The square root of 59934384225 is 244815.

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

59934384225 is a `hidden beast` number, since 5 + 9 + 9 + 34 + 384 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21576378321 + 38358005904 = 146889^2 + 195852^2 .

It is not a de Polignac number, because 59934384225 - 2³ = 59934384217 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 69771846 + ... + 69772704.

Almost surely, 2^59934384225 is an apocalyptic number.

59934384225 is the 244815-th square number.

59934384225 is the 122408-th centered octagonal number.

It is an amenable number.

59934384225 is a deficient number, since it is larger than the sum of its proper divisors (53494125138).

59934384225 is an equidigital number, since it uses as much as digits as its factorization.

59934384225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 886 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 59934384225 in words is "fifty-nine billion, nine hundred thirty-four million, three hundred eighty-four thousand, two hundred twenty-five".