5013513257 has 2 divisors, whose sum is σ = 5013513258. Its totient is φ = 5013513256.

The previous prime is 5013513151. The next prime is 5013513269. The reversal of 5013513257 is 7523153105.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2979413056 + 2034100201 = 54584^2 + 45101^2 .

It is a cyclic number.

It is not a de Polignac number, because 5013513257 - 2¹⁰ = 5013512233 is a prime.

It is a super-2 number, since 2×5013513257² = 50270630356229496098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5013515257) 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, 2506756628 + 2506756629.

It is an arithmetic number, because the mean of its divisors is an integer number (2506756629).

Almost surely, 2^5013513257 is an apocalyptic number.

It is an amenable number.

5013513257 is a deficient number, since it is larger than the sum of its proper divisors (1).

5013513257 is an equidigital number, since it uses as much as digits as its factorization.

5013513257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15750, while the sum is 32.

The square root of 5013513257 is about 70806.1668006396. The cubic root of 5013513257 is about 1711.5150505833.

The spelling of 5013513257 in words is "five billion, thirteen million, five hundred thirteen thousand, two hundred fifty-seven".