252405513 has 24 divisors (see below), whose sum is σ = 371498400. Its totient is φ = 165109824.

The previous prime is 252405509. The next prime is 252405533. The reversal of 252405513 is 315504252.

It is a happy number.

252405513 is a `hidden beast` number, since 252 + 405 + 5 + 1 + 3 = 666.

252405513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252405513 - 2² = 252405509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252405533) 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, 110206 + ... + 112472.

It is an arithmetic number, because the mean of its divisors is an integer number (15479100).

Almost surely, 2^252405513 is an apocalyptic number.

It is an amenable number.

252405513 is a deficient number, since it is larger than the sum of its proper divisors (119092887).

252405513 is a wasteful number, since it uses less digits than its factorization.

252405513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 252405513 is about 15887.2751911711. The cubic root of 252405513 is about 631.9745832125.

Adding to 252405513 its reverse (315504252), we get a palindrome (567909765).

The spelling of 252405513 in words is "two hundred fifty-two million, four hundred five thousand, five hundred thirteen".