2564620105063 has 16 divisors (see below), whose sum is σ = 2603600842752. Its totient is φ = 2525915556000.

The previous prime is 2564620105037. The next prime is 2564620105087. The reversal of 2564620105063 is 3605010264652.

It is a happy number.

It is not a de Polignac number, because 2564620105063 - 2¹⁷ = 2564619973991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564620103063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131032068 + ... + 131051638.

It is an arithmetic number, because the mean of its divisors is an integer number (162725052672).

Almost surely, 2^{2564620105063} is an apocalyptic number.

2564620105063 is a deficient number, since it is larger than the sum of its proper divisors (38980737689).

2564620105063 is a wasteful number, since it uses less digits than its factorization.

2564620105063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26526.

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 2564620105063 in words is "two trillion, five hundred sixty-four billion, six hundred twenty million, one hundred five thousand, sixty-three".