112588052222581 has 32 divisors (see below), whose sum is σ = 121880463366368. Its totient is φ = 103387486371840.

The previous prime is 112588052222557. The next prime is 112588052222761. The reversal of 112588052222581 is 185222250885211.

112588052222581 = 7502934² + 7502935².

It can be written as a sum of positive squares in 16 ways, for example, as 2352646739556 + 110235405483025 = 1533834^2 + 10499305^2 .

It is a cyclic number.

It is not a de Polignac number, because 112588052222581 - 2²⁵ = 112588018668149 is a prime.

It is a super-2 number, since 2×112588052222581² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112588052222531) 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, 7189063891 + ... + 7189079551.

It is an arithmetic number, because the mean of its divisors is an integer number (3808764480199).

Almost surely, 2^{112588052222581} is an apocalyptic number.

112588052222581 is the 7502935-th centered square number.

It is an amenable number.

112588052222581 is a deficient number, since it is larger than the sum of its proper divisors (9292411143787).

112588052222581 is a wasteful number, since it uses less digits than its factorization.

112588052222581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19721.

The product of its (nonzero) digits is 2048000, while the sum is 52.

The spelling of 112588052222581 in words is "one hundred twelve trillion, five hundred eighty-eight billion, fifty-two million, two hundred twenty-two thousand, five hundred eighty-one".