85364564801 has 2 divisors, whose sum is σ = 85364564802. Its totient is φ = 85364564800.

The previous prime is 85364564759. The next prime is 85364564819. The reversal of 85364564801 is 10846546358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85308389776 + 56175025 = 292076^2 + 7495^2 .

It is a cyclic number.

It is not a de Polignac number, because 85364564801 - 2¹⁴ = 85364548417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85364564801.

It is not a weakly prime, because it can be changed into another prime (85364564821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42682282400 + 42682282401.

It is an arithmetic number, because the mean of its divisors is an integer number (42682282401).

Almost surely, 2^85364564801 is an apocalyptic number.

It is an amenable number.

85364564801 is a deficient number, since it is larger than the sum of its proper divisors (1).

85364564801 is an equidigital number, since it uses as much as digits as its factorization.

85364564801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2764800, while the sum is 50.

The spelling of 85364564801 in words is "eighty-five billion, three hundred sixty-four million, five hundred sixty-four thousand, eight hundred one".