82588243013 has 2 divisors, whose sum is σ = 82588243014. Its totient is φ = 82588243012.

The previous prime is 82588242983. The next prime is 82588243097. The reversal of 82588243013 is 31034288528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61870095169 + 20718147844 = 248737^2 + 143938^2 .

It is a cyclic number.

It is not a de Polignac number, because 82588243013 - 2¹⁸ = 82587980869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82588243513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41294121506 + 41294121507.

It is an arithmetic number, because the mean of its divisors is an integer number (41294121507).

Almost surely, 2^82588243013 is an apocalyptic number.

It is an amenable number.

82588243013 is a deficient number, since it is larger than the sum of its proper divisors (1).

82588243013 is an equidigital number, since it uses as much as digits as its factorization.

82588243013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 82588243013 in words is "eighty-two billion, five hundred eighty-eight million, two hundred forty-three thousand, thirteen".