252257362632 has 108 divisors (see below), whose sum is σ = 751091682705. Its totient is φ = 76427419200.

The previous prime is 252257362607. The next prime is 252257362657. The reversal of 252257362632 is 236263752252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

252257362632 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 5 + 7 + 3 + 6 + 2 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (252257362607) and next prime (252257362657).

It can be written as a sum of positive squares in 2 ways, for example, as 244306787076 + 7950575556 = 494274^2 + 89166^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=355146.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46876582 + ... + 46881962.

Almost surely, 2^252257362632 is an apocalyptic number.

252257362632 is a gapful number since it is divisible by the number (22) 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 252257362632

252257362632 is an abundant number, since it is smaller than the sum of its proper divisors (498834320073).

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

252257362632 is an equidigital number, since it uses as much as digits as its factorization.

252257362632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10796 (or 5397 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The spelling of 252257362632 in words is "two hundred fifty-two billion, two hundred fifty-seven million, three hundred sixty-two thousand, six hundred thirty-two".