251633314530480 has 160 divisors (see below), whose sum is σ = 794091734161920. Its totient is φ = 65897782159360.

The previous prime is 251633314530449. The next prime is 251633314530487. The reversal of 251633314530480 is 84035413336152.

251633314530480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (251633314530487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4880260 + ... + 22958300.

It is an arithmetic number, because the mean of its divisors is an integer number (4963073338512).

Almost surely, 2^{251633314530480} is an apocalyptic number.

251633314530480 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 251633314530480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397045867080960).

251633314530480 is an abundant number, since it is smaller than the sum of its proper divisors (542458419631440).

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

251633314530480 is a wasteful number, since it uses less digits than its factorization.

251633314530480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18079099 (or 18079093 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 251633314530480 in words is "two hundred fifty-one trillion, six hundred thirty-three billion, three hundred fourteen million, five hundred thirty thousand, four hundred eighty".