252535101 has 64 divisors (see below), whose sum is σ = 444530688. Its totient is φ = 123856128.

The previous prime is 252535093. The next prime is 252535117. The reversal of 252535101 is 101535252.

It is a happy number.

It is not a de Polignac number, because 252535101 - 2³ = 252535093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252535121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231780 + ... + 232866.

It is an arithmetic number, because the mean of its divisors is an integer number (6945792).

Almost surely, 2^252535101 is an apocalyptic number.

252535101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252535101 is a deficient number, since it is larger than the sum of its proper divisors (191995587).

252535101 is a wasteful number, since it uses less digits than its factorization.

252535101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 252535101 is about 15891.3530260957. The cubic root of 252535101 is about 632.0827191373.

The spelling of 252535101 in words is "two hundred fifty-two million, five hundred thirty-five thousand, one hundred one".