251664331050 has 240 divisors, whose sum is σ = 770389022304. Its totient is φ = 60404400000.

The previous prime is 251664331027. The next prime is 251664331063. The reversal of 251664331050 is 50133466152.

251664331050 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 643 + 3 + 1 + 0 + 5 + 0 = 666.

251664331050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 251664330996 and 251664331014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4471585 + ... + 4527515.

Almost surely, 2^251664331050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251664331050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385194511152).

251664331050 is an abundant number, since it is smaller than the sum of its proper divisors (518724691254).

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

251664331050 is a wasteful number, since it uses less digits than its factorization.

251664331050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56067 (or 56053 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 251664331050 in words is "two hundred fifty-one billion, six hundred sixty-four million, three hundred thirty-one thousand, fifty".