522564673122401 has 24 divisors (see below), whose sum is σ = 647317595044224. Its totient is φ = 413056736426880.

The previous prime is 522564673122347. The next prime is 522564673122511. The reversal of 522564673122401 is 104221376465225.

It is a happy number.

It is not a de Polignac number, because 522564673122401 - 2³⁴ = 522547493253217 is a prime.

It is a super-3 number, since 3×522564673122401³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 522564673122401.

It is not an unprimeable number, because it can be changed into a prime (522564673122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213003596 + ... + 215442941.

It is an arithmetic number, because the mean of its divisors is an integer number (26971566460176).

Almost surely, 2^{522564673122401} is an apocalyptic number.

It is an amenable number.

522564673122401 is a deficient number, since it is larger than the sum of its proper divisors (124752921921823).

522564673122401 is a wasteful number, since it uses less digits than its factorization.

522564673122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428447601 (or 428447588 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 50.

The spelling of 522564673122401 in words is "five hundred twenty-two trillion, five hundred sixty-four billion, six hundred seventy-three million, one hundred twenty-two thousand, four hundred one".