252638875206 has 96 divisors (see below), whose sum is σ = 596841840000. Its totient is φ = 79185717072.

The previous prime is 252638875189. The next prime is 252638875211. The reversal of 252638875206 is 602578836252.

It is a happy number.

252638875206 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 38 + 87 + 520 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1610445 + ... + 1760343.

It is an arithmetic number, because the mean of its divisors is an integer number (6217102500).

Almost surely, 2^252638875206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252638875206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298420920000).

252638875206 is an abundant number, since it is smaller than the sum of its proper divisors (344202964794).

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

252638875206 is a wasteful number, since it uses less digits than its factorization.

252638875206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150015 (or 149986 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

It can be divided in two parts, 252638 and 875206, that added together give a square (1127844 = 1062²).

The spelling of 252638875206 in words is "two hundred fifty-two billion, six hundred thirty-eight million, eight hundred seventy-five thousand, two hundred six".