251460125764 has 27 divisors (see below), whose sum is σ = 443153463543. Its totient is φ = 124851007008.

The previous prime is 251460125701. The next prime is 251460125773. The reversal of 251460125764 is 467521064152.

The square root of 251460125764 is 501458.

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

It can be written as a sum of positive squares in 4 ways, for example, as 65250615364 + 186209510400 = 255442^2 + 431520^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 251460125764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 157457014 + ... + 157458610.

Almost surely, 2^251460125764 is an apocalyptic number.

251460125764 is the 501458-th square number.

It is an amenable number.

251460125764 is a deficient number, since it is larger than the sum of its proper divisors (191693337779).

251460125764 is an frugal number, since it uses more digits than its factorization.

251460125764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 251460125764 in words is "two hundred fifty-one billion, four hundred sixty million, one hundred twenty-five thousand, seven hundred sixty-four".