252540431 has 24 divisors (see below), whose sum is σ = 300928992. Its totient is φ = 210513600.

The previous prime is 252540413. The next prime is 252540433. The reversal of 252540431 is 134045252.

It is a happy number.

It is not a de Polignac number, because 252540431 - 2⁶ = 252540367 is a prime.

It is a super-2 number, since 2×252540431² = 127553338579331522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252540431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252540433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284270 + ... + 285156.

It is an arithmetic number, because the mean of its divisors is an integer number (12538708).

Almost surely, 2^252540431 is an apocalyptic number.

252540431 is a deficient number, since it is larger than the sum of its proper divisors (48388561).

252540431 is a wasteful number, since it uses less digits than its factorization.

252540431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 252540431 is about 15891.5207264755. The cubic root of 252540431 is about 632.0871660138.

Adding to 252540431 its reverse (134045252), we get a palindrome (386585683).

The spelling of 252540431 in words is "two hundred fifty-two million, five hundred forty thousand, four hundred thirty-one".