251224252320 has 48 divisors (see below), whose sum is σ = 791356396320. Its totient is φ = 66993133824.

The previous prime is 251224252319. The next prime is 251224252361. The reversal of 251224252320 is 23252422152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×251224252320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261691450 + ... + 261692409.

It is an arithmetic number, because the mean of its divisors is an integer number (16486591590).

Almost surely, 2^251224252320 is an apocalyptic number.

251224252320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251224252320 is an abundant number, since it is smaller than the sum of its proper divisors (540132144000).

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

251224252320 is a wasteful number, since it uses less digits than its factorization.

251224252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523383877 (or 523383869 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 251224252320 its reverse (23252422152), we get a palindrome (274476674472).

The spelling of 251224252320 in words is "two hundred fifty-one billion, two hundred twenty-four million, two hundred fifty-two thousand, three hundred twenty".