82564035201 has 24 divisors (see below), whose sum is σ = 126399297960. Its totient is φ = 51753647616.

The previous prime is 82564035187. The next prime is 82564035209. The reversal of 82564035201 is 10253046528.

82564035201 is a `hidden beast` number, since 8 + 2 + 5 + 640 + 3 + 5 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 919544976 + 81644490225 = 30324^2 + 285735^2 .

It is not a de Polignac number, because 82564035201 - 2⁶ = 82564035137 is a prime.

It is a super-2 number, since 2×82564035201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82564035209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111366 + ... + 421343.

It is an arithmetic number, because the mean of its divisors is an integer number (5266637415).

Almost surely, 2^82564035201 is an apocalyptic number.

It is an amenable number.

82564035201 is a deficient number, since it is larger than the sum of its proper divisors (43835262759).

82564035201 is a wasteful number, since it uses less digits than its factorization.

82564035201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533745 (or 533742 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 82564035201 in words is "eighty-two billion, five hundred sixty-four million, thirty-five thousand, two hundred one".