82558965953 has 2 divisors, whose sum is σ = 82558965954. Its totient is φ = 82558965952.

The previous prime is 82558965883. The next prime is 82558966019. The reversal of 82558965953 is 35956985528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81952230529 + 606735424 = 286273^2 + 24632^2 .

It is a cyclic number.

It is not a de Polignac number, because 82558965953 - 2²⁶ = 82491857089 is a prime.

It is a super-2 number, since 2×82558965953² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82558965953.

It is not a weakly prime, because it can be changed into another prime (82558965553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41279482976 + 41279482977.

It is an arithmetic number, because the mean of its divisors is an integer number (41279482977).

Almost surely, 2^82558965953 is an apocalyptic number.

It is an amenable number.

82558965953 is a deficient number, since it is larger than the sum of its proper divisors (1).

82558965953 is an equidigital number, since it uses as much as digits as its factorization.

82558965953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 116640000, while the sum is 65.

The spelling of 82558965953 in words is "eighty-two billion, five hundred fifty-eight million, nine hundred sixty-five thousand, nine hundred fifty-three".