251315055054 has 128 divisors (see below), whose sum is σ = 640459008000. Its totient is φ = 71557530624.

The previous prime is 251315055041. The next prime is 251315055113. The reversal of 251315055054 is 450550513152.

251315055054 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 1 + 50 + 550 + 54 = 666.

It is a super-3 number, since 3×251315055054³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270521662 + ... + 270522590.

It is an arithmetic number, because the mean of its divisors is an integer number (5003586000).

Almost surely, 2^251315055054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251315055054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320229504000).

251315055054 is an abundant number, since it is smaller than the sum of its proper divisors (389143952946).

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

251315055054 is a wasteful number, since it uses less digits than its factorization.

251315055054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 251315055054 in words is "two hundred fifty-one billion, three hundred fifteen million, fifty-five thousand, fifty-four".