51257865604 has 81 divisors (see below), whose sum is σ = 101464959589. Its totient is φ = 22640200000.

The previous prime is 51257865601. The next prime is 51257865671. The reversal of 51257865604 is 40656875215.

The square root of 51257865604 is 226402.

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

It can be written as a sum of positive squares in only one way, i.e., 2469891204 + 48787974400 = 49698^2 + 220880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51257865601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 204214479 + ... + 204214729.

Almost surely, 2^51257865604 is an apocalyptic number.

51257865604 is the 226402-nd square number.

It is an amenable number.

51257865604 is a deficient number, since it is larger than the sum of its proper divisors (50207093985).

51257865604 is a wasteful number, since it uses less digits than its factorization.

51257865604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

Multiplying 51257865604 by its sum of digits (49), we get a square (2511635414596 = 1584814²).

The spelling of 51257865604 in words is "fifty-one billion, two hundred fifty-seven million, eight hundred sixty-five thousand, six hundred four".