5257589362901 has 2 divisors, whose sum is σ = 5257589362902. Its totient is φ = 5257589362900.

The previous prime is 5257589362853. The next prime is 5257589362937. The reversal of 5257589362901 is 1092639857525.

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., 4751314422001 + 506274940900 = 2179751^2 + 711530^2 .

It is a cyclic number.

It is not a de Polignac number, because 5257589362901 - 2¹⁰ = 5257589361877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5257589362801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2628794681450 + 2628794681451.

It is an arithmetic number, because the mean of its divisors is an integer number (2628794681451).

Almost surely, 2^{5257589362901} is an apocalyptic number.

It is an amenable number.

5257589362901 is a deficient number, since it is larger than the sum of its proper divisors (1).

5257589362901 is an equidigital number, since it uses as much as digits as its factorization.

5257589362901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824000, while the sum is 62.

The spelling of 5257589362901 in words is "five trillion, two hundred fifty-seven billion, five hundred eighty-nine million, three hundred sixty-two thousand, nine hundred one".