52013657 has 2 divisors, whose sum is σ = 52013658. Its totient is φ = 52013656.

The previous prime is 52013639. The next prime is 52013669. The reversal of 52013657 is 75631025.

52013657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43811161 + 8202496 = 6619^2 + 2864^2 .

It is a cyclic number.

It is not a de Polignac number, because 52013657 - 2⁶ = 52013593 is a prime.

It is not a weakly prime, because it can be changed into another prime (52013627) 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, 26006828 + 26006829.

It is an arithmetic number, because the mean of its divisors is an integer number (26006829).

Almost surely, 2^52013657 is an apocalyptic number.

It is an amenable number.

52013657 is a deficient number, since it is larger than the sum of its proper divisors (1).

52013657 is an equidigital number, since it uses as much as digits as its factorization.

52013657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 52013657 is about 7212.0494313336. The cubic root of 52013657 is about 373.2837890426.

The spelling of 52013657 in words is "fifty-two million, thirteen thousand, six hundred fifty-seven".