852638513 has 2 divisors, whose sum is σ = 852638514. Its totient is φ = 852638512.

The previous prime is 852638491. The next prime is 852638537. The reversal of 852638513 is 315836258.

852638513 = 20647² + 20648².

852638513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 426339904 + 426298609 = 20648^2 + 20647^2 .

It is a cyclic number.

It is not a de Polignac number, because 852638513 - 2⁸ = 852638257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (852638573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426319256 + 426319257.

It is an arithmetic number, because the mean of its divisors is an integer number (426319257).

Almost surely, 2^852638513 is an apocalyptic number.

852638513 is the 20648-th centered square number.

It is an amenable number.

852638513 is a deficient number, since it is larger than the sum of its proper divisors (1).

852638513 is an equidigital number, since it uses as much as digits as its factorization.

852638513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 172800, while the sum is 41.

The square root of 852638513 is about 29199.9745376601. The cubic root of 852638513 is about 948.2473736069.

The spelling of 852638513 in words is "eight hundred fifty-two million, six hundred thirty-eight thousand, five hundred thirteen".