22564133265513 has 32 divisors (see below), whose sum is σ = 35228957283072. Its totient is φ = 12576845030400.

The previous prime is 22564133265511. The next prime is 22564133265539. The reversal of 22564133265513 is 31556233146522.

It is not a de Polignac number, because 22564133265513 - 2¹ = 22564133265511 is a prime.

It is a super-2 number, since 2×22564133265513² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (22564133265511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1839523 + ... + 6965063.

It is an arithmetic number, because the mean of its divisors is an integer number (1100904915096).

Almost surely, 2^{22564133265513} is an apocalyptic number.

It is an amenable number.

22564133265513 is a deficient number, since it is larger than the sum of its proper divisors (12664824017559).

22564133265513 is a wasteful number, since it uses less digits than its factorization.

22564133265513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130705.

The product of its digits is 3888000, while the sum is 48.

The spelling of 22564133265513 in words is "twenty-two trillion, five hundred sixty-four billion, one hundred thirty-three million, two hundred sixty-five thousand, five hundred thirteen".