252523305 has 64 divisors (see below), whose sum is σ = 471018240. Its totient is φ = 128217600.

The previous prime is 252523289. The next prime is 252523343. The reversal of 252523305 is 503325252.

252523305 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 252523305 - 2⁴ = 252523289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237475 + ... + 238535.

It is an arithmetic number, because the mean of its divisors is an integer number (7359660).

Almost surely, 2^252523305 is an apocalyptic number.

It is an amenable number.

252523305 is a deficient number, since it is larger than the sum of its proper divisors (218494935).

252523305 is a wasteful number, since it uses less digits than its factorization.

252523305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 252523305 is about 15890.9818765236. The cubic root of 252523305 is about 632.0728773849.

Adding to 252523305 its reverse (503325252), we get a palindrome (755848557).

The spelling of 252523305 in words is "two hundred fifty-two million, five hundred twenty-three thousand, three hundred five".