252651330320 has 160 divisors (see below), whose sum is σ = 629211843936. Its totient is φ = 94011392000.

The previous prime is 252651330313. The next prime is 252651330359. The reversal of 252651330320 is 23033156252.

It can be written as a sum of positive squares in 16 ways, for example, as 1562146576 + 251089183744 = 39524^2 + 501088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104529752 + ... + 104532168.

Almost surely, 2^252651330320 is an apocalyptic number.

252651330320 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 252651330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314605921968).

252651330320 is an abundant number, since it is smaller than the sum of its proper divisors (376560513616).

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

252651330320 is a wasteful number, since it uses less digits than its factorization.

252651330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 252651330320 its reverse (23033156252), we get a palindrome (275684486572).

The spelling of 252651330320 in words is "two hundred fifty-two billion, six hundred fifty-one million, three hundred thirty thousand, three hundred twenty".