82507964801 has 2 divisors, whose sum is σ = 82507964802. Its totient is φ = 82507964800.

The previous prime is 82507964731. The next prime is 82507964831. The reversal of 82507964801 is 10846970528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77470372225 + 5037592576 = 278335^2 + 70976^2 .

It is a cyclic number.

It is not a de Polignac number, because 82507964801 - 2²² = 82503770497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82507964801.

It is not a weakly prime, because it can be changed into another prime (82507964831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41253982400 + 41253982401.

It is an arithmetic number, because the mean of its divisors is an integer number (41253982401).

Almost surely, 2^82507964801 is an apocalyptic number.

It is an amenable number.

82507964801 is a deficient number, since it is larger than the sum of its proper divisors (1).

82507964801 is an equidigital number, since it uses as much as digits as its factorization.

82507964801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 82507964801 in words is "eighty-two billion, five hundred seven million, nine hundred sixty-four thousand, eight hundred one".