252681520128 has 88 divisors (see below), whose sum is σ = 674737707840. Its totient is φ = 84070932480.

The previous prime is 252681520123. The next prime is 252681520153. The reversal of 252681520128 is 821025186252.

It is a super-2 number, since 2×252681520128² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252681520128.

It is not an unprimeable number, because it can be changed into a prime (252681520121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1585933 + ... + 1737971.

Almost surely, 2^252681520128 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 252681520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337368853920).

252681520128 is an abundant number, since it is smaller than the sum of its proper divisors (422056187712).

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

252681520128 is a wasteful number, since it uses less digits than its factorization.

252681520128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152603 (or 152585 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 252681520128 in words is "two hundred fifty-two billion, six hundred eighty-one million, five hundred twenty thousand, one hundred twenty-eight".