251304311412 has 288 divisors, whose sum is σ = 798928865280. Its totient is φ = 64704303360.

The previous prime is 251304311387. The next prime is 251304311507. The reversal of 251304311412 is 214113403152.

251304311412 is a `hidden beast` number, since 2 + 5 + 1 + 304 + 311 + 41 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 286549518 + ... + 286550394.

It is an arithmetic number, because the mean of its divisors is an integer number (2774058560).

Almost surely, 2^251304311412 is an apocalyptic number.

251304311412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251304311412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399464432640).

251304311412 is an abundant number, since it is smaller than the sum of its proper divisors (547624553868).

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

251304311412 is a wasteful number, since it uses less digits than its factorization.

251304311412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 251304311412 its reverse (214113403152), we get a palindrome (465417714564).

The spelling of 251304311412 in words is "two hundred fifty-one billion, three hundred four million, three hundred eleven thousand, four hundred twelve".