251490521088 has 624 divisors, whose sum is σ = 811451571840. Its totient is φ = 77545340928.

The previous prime is 251490521081. The next prime is 251490521101. The reversal of 251490521088 is 880125094152.

251490521088 is a `hidden beast` number, since 2 + 5 + 1 + 49 + 0 + 521 + 0 + 88 = 666.

It is a super-2 number, since 2×251490521088² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251490521081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1505931181 + ... + 1505931347.

It is an arithmetic number, because the mean of its divisors is an integer number (1300403160).

Almost surely, 2^251490521088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251490521088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405725785920).

251490521088 is an abundant number, since it is smaller than the sum of its proper divisors (559961050752).

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

251490521088 is an equidigital number, since it uses as much as digits as its factorization.

251490521088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 251490521088 in words is "two hundred fifty-one billion, four hundred ninety million, five hundred twenty-one thousand, eighty-eight".