251315152313200 has 240 divisors, whose sum is σ = 628402806789120. Its totient is φ = 96481711872000.

The previous prime is 251315152313123. The next prime is 251315152313249. The reversal of 251315152313200 is 2313251513152.

251315152313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2707828396 + ... + 2707921204.

It is an arithmetic number, because the mean of its divisors is an integer number (2618345028288).

Almost surely, 2^{251315152313200} is an apocalyptic number.

251315152313200 is a gapful number since it is divisible by the number (20) 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 251315152313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314201403394560).

251315152313200 is an abundant number, since it is smaller than the sum of its proper divisors (377087654475920).

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

251315152313200 is a wasteful number, since it uses less digits than its factorization.

251315152313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94656 (or 94645 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 251315152313200 in words is "two hundred fifty-one trillion, three hundred fifteen billion, one hundred fifty-two million, three hundred thirteen thousand, two hundred".