252101252 has 48 divisors (see below), whose sum is σ = 500919552. Its totient is φ = 110140800.

The previous prime is 252101249. The next prime is 252101281.

It is a happy number.

252101252 is nontrivially palindromic in base 10.

252101252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119753 + ... + 121839.

It is an arithmetic number, because the mean of its divisors is an integer number (10435824).

Almost surely, 2^252101252 is an apocalyptic number.

It is an amenable number.

252101252 is a deficient number, since it is larger than the sum of its proper divisors (248818300).

252101252 is a wasteful number, since it uses less digits than its factorization.

252101252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 252101252 is about 15877.6966843431. The cubic root of 252101252 is about 631.7205442109.

It can be divided in two parts, 25210 and 1252, that added together give a palindrome (26462).

The spelling of 252101252 in words is "two hundred fifty-two million, one hundred one thousand, two hundred fifty-two".