52521313 has 24 divisors (see below), whose sum is σ = 61149816. Its totient is φ = 44928000.

The previous prime is 52521311. The next prime is 52521319. The reversal of 52521313 is 31312525.

It can be written as a sum of positive squares in 12 ways, for example, as 20903184 + 31618129 = 4572^2 + 5623^2 .

It is not a de Polignac number, because 52521313 - 2¹ = 52521311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52521311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290083 + ... + 290263.

It is an arithmetic number, because the mean of its divisors is an integer number (2547909).

Almost surely, 2^52521313 is an apocalyptic number.

It is an amenable number.

52521313 is a deficient number, since it is larger than the sum of its proper divisors (8628503).

52521313 is a wasteful number, since it uses less digits than its factorization.

52521313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 52521313 is about 7247.1589605859. The cubic root of 52521313 is about 374.4942824541.

Adding to 52521313 its reverse (31312525), we get a palindrome (83833838).

It can be divided in two parts, 525213 and 13, that multiplied together give a square (6827769 = 2613²).

The spelling of 52521313 in words is "fifty-two million, five hundred twenty-one thousand, three hundred thirteen".