53161602624 has 189 divisors, whose sum is σ = 165224754513. Its totient is φ = 16335281664.

The previous prime is 53161602607. The next prime is 53161602727. The reversal of 53161602624 is 42620616135.

The square root of 53161602624 is 230568.

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

53161602624 is a `hidden beast` number, since 5 + 3 + 16 + 16 + 0 + 2 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7864142400 + 45297460224 = 88680^2 + 212832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71936847 + ... + 71937585.

Almost surely, 2^53161602624 is an apocalyptic number.

53161602624 is the 230568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53161602624

53161602624 is an abundant number, since it is smaller than the sum of its proper divisors (112063151889).

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

53161602624 is an equidigital number, since it uses as much as digits as its factorization.

53161602624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 53161602624 by its sum of digits (36), we get a square (1913817694464 = 1383408²).

53161602624 divided by its sum of digits (36) gives a square (1476711184 = 38428²).

The spelling of 53161602624 in words is "fifty-three billion, one hundred sixty-one million, six hundred two thousand, six hundred twenty-four".