252129636 has 54 divisors (see below), whose sum is σ = 700545846. Its totient is φ = 76401600.

The previous prime is 252129629. The next prime is 252129637. The reversal of 252129636 is 636921252.

252129636 is a `hidden beast` number, since 2 + 5 + 2 + 12 + 9 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147476736 + 104652900 = 12144^2 + 10230^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 252129636.

It is not an unprimeable number, because it can be changed into a prime (252129637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24585 + ... + 33296.

Almost surely, 2^252129636 is an apocalyptic number.

It is an amenable number.

252129636 is an abundant number, since it is smaller than the sum of its proper divisors (448416210).

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

252129636 is a wasteful number, since it uses less digits than its factorization.

252129636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57913 (or 57897 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 252129636 is about 15878.5904916022. The cubic root of 252129636 is about 631.7442517264.

The spelling of 252129636 in words is "two hundred fifty-two million, one hundred twenty-nine thousand, six hundred thirty-six".