252624645306 has 72 divisors (see below), whose sum is σ = 602874304032. Its totient is φ = 76395409200.

The previous prime is 252624645269. The next prime is 252624645323. The reversal of 252624645306 is 603546426252.

252624645306 is a `hidden beast` number, since 2 + 5 + 262 + 46 + 45 + 306 = 666.

It is a super-2 number, since 2×252624645306² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 941601 + ... + 1179771.

Almost surely, 2^252624645306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252624645306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301437152016).

252624645306 is an abundant number, since it is smaller than the sum of its proper divisors (350249658726).

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

252624645306 is a wasteful number, since it uses less digits than its factorization.

252624645306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238688 (or 238674 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 252624645306 in words is "two hundred fifty-two billion, six hundred twenty-four million, six hundred forty-five thousand, three hundred six".