852538513 has 2 divisors, whose sum is σ = 852538514. Its totient is φ = 852538512.

The previous prime is 852538483. The next prime is 852538523. The reversal of 852538513 is 315835258.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 833072769 + 19465744 = 28863^2 + 4412^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-852538513 is a prime.

It is a super-2 number, since 2×852538513² = 1453643832296502338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (852538523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426269256 + 426269257.

It is an arithmetic number, because the mean of its divisors is an integer number (426269257).

Almost surely, 2^852538513 is an apocalyptic number.

It is an amenable number.

852538513 is a deficient number, since it is larger than the sum of its proper divisors (1).

852538513 is an equidigital number, since it uses as much as digits as its factorization.

852538513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144000, while the sum is 40.

The square root of 852538513 is about 29198.2621571901. The cubic root of 852538513 is about 948.2103010596.

The spelling of 852538513 in words is "eight hundred fifty-two million, five hundred thirty-eight thousand, five hundred thirteen".