251113253304 has 128 divisors (see below), whose sum is σ = 669808512000. Its totient is φ = 78222703104.

The previous prime is 251113253299. The next prime is 251113253327. The reversal of 251113253304 is 403352311152.

251113253304 is digitally balanced in base 2, base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 49458414 + ... + 49463490.

It is an arithmetic number, because the mean of its divisors is an integer number (5232879000).

Almost surely, 2^251113253304 is an apocalyptic number.

251113253304 is a gapful number since it is divisible by the number (24) 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 251113253304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334904256000).

251113253304 is an abundant number, since it is smaller than the sum of its proper divisors (418695258696).

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

251113253304 is a wasteful number, since it uses less digits than its factorization.

251113253304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557 (or 6553 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 251113253304 its reverse (403352311152), we get a palindrome (654465564456).

The spelling of 251113253304 in words is "two hundred fifty-one billion, one hundred thirteen million, two hundred fifty-three thousand, three hundred four".