251252220791016 has 96 divisors (see below), whose sum is σ = 717598714778400. Its totient is φ = 79197755495040.

The previous prime is 251252220790979. The next prime is 251252220791017. The reversal of 251252220791016 is 610197022252152.

It is a happy number.

251252220791016 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 522 + 20 + 7 + 91 + 0 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (251252220791017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 167134615 + ... + 168631206.

It is an arithmetic number, because the mean of its divisors is an integer number (7474986612275).

Almost surely, 2^{251252220791016} is an apocalyptic number.

It is an amenable number.

251252220791016 is an abundant number, since it is smaller than the sum of its proper divisors (466346493987384).

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

251252220791016 is a wasteful number, since it uses less digits than its factorization.

251252220791016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335766399 (or 335766392 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 251252220791016 in words is "two hundred fifty-one trillion, two hundred fifty-two billion, two hundred twenty million, seven hundred ninety-one thousand, sixteen".