22506142565133 has 24 divisors (see below), whose sum is σ = 32998917151200. Its totient is φ = 14777986300704.

The previous prime is 22506142565089. The next prime is 22506142565177. The reversal of 22506142565133 is 33156524160522.

22506142565133 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 614 + 25 + 6 + 5 + 1 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (22506142565089) and next prime (22506142565177).

It is not a de Polignac number, because 22506142565133 - 2¹² = 22506142561037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22506142585133) 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, 1385158 + ... + 6850616.

It is an arithmetic number, because the mean of its divisors is an integer number (1374954881300).

Almost surely, 2^{22506142565133} is an apocalyptic number.

It is an amenable number.

22506142565133 is a deficient number, since it is larger than the sum of its proper divisors (10492774586067).

22506142565133 is a wasteful number, since it uses less digits than its factorization.

22506142565133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472361 (or 5472358 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 22506142565133 in words is "twenty-two trillion, five hundred six billion, one hundred forty-two million, five hundred sixty-five thousand, one hundred thirty-three".