251585632640364 has 48 divisors (see below), whose sum is σ = 661057849998336. Its totient is φ = 73778777899200.

The previous prime is 251585632640351. The next prime is 251585632640611. The reversal of 251585632640364 is 463046236585152.

It is a junction number, because it is equal to n+sod(n) for n = 251585632640298 and 251585632640307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30741153367 + ... + 30741161550.

It is an arithmetic number, because the mean of its divisors is an integer number (13772038541632).

Almost surely, 2^{251585632640364} is an apocalyptic number.

It is an amenable number.

251585632640364 is an abundant number, since it is smaller than the sum of its proper divisors (409472217357972).

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

251585632640364 is a wasteful number, since it uses less digits than its factorization.

251585632640364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61482314966 (or 61482314964 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 60.

The spelling of 251585632640364 in words is "two hundred fifty-one trillion, five hundred eighty-five billion, six hundred thirty-two million, six hundred forty thousand, three hundred sixty-four".