252997101 has 40 divisors (see below), whose sum is σ = 442499904. Its totient is φ = 141030720.

The previous prime is 252997093. The next prime is 252997117. The reversal of 252997101 is 101799252.

It is not a de Polignac number, because 252997101 - 2³ = 252997093 is a prime.

It is a super-2 number, since 2×252997101² = 128015066228808402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252997181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17806 + ... + 28688.

Almost surely, 2^252997101 is an apocalyptic number.

252997101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252997101 is a deficient number, since it is larger than the sum of its proper divisors (189502803).

252997101 is a wasteful number, since it uses less digits than its factorization.

252997101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10943 (or 10934 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 252997101 is about 15905.8825910416. The cubic root of 252997101 is about 632.4679386124.

It can be divided in two parts, 25299 and 7101, that added together give a square (32400 = 180²).

The spelling of 252997101 in words is "two hundred fifty-two million, nine hundred ninety-seven thousand, one hundred one".