251245013120 has 192 divisors, whose sum is σ = 622047081600. Its totient is φ = 97031319552.

The previous prime is 251245013111. The next prime is 251245013137. The reversal of 251245013120 is 21310542152.

It is a self number, because there is not a number n which added to its sum of digits gives 251245013120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121785209 + ... + 121787271.

It is an arithmetic number, because the mean of its divisors is an integer number (3239828550).

Almost surely, 2^251245013120 is an apocalyptic number.

251245013120 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 251245013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311023540800).

251245013120 is an abundant number, since it is smaller than the sum of its proper divisors (370802068480).

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

251245013120 is a wasteful number, since it uses less digits than its factorization.

251245013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 251245013120 its reverse (21310542152), we get a palindrome (272555555272).

The spelling of 251245013120 in words is "two hundred fifty-one billion, two hundred forty-five million, thirteen thousand, one hundred twenty".