112517537301 has 12 divisors (see below), whose sum is σ = 175027280428. Its totient is φ = 69241561344.

The previous prime is 112517537281. The next prime is 112517537317. The reversal of 112517537301 is 103735715211.

112517537301 is a `hidden beast` number, since 1 + 1 + 251 + 75 + 37 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56975303025 + 55542234276 = 238695^2 + 235674^2 .

It is not a de Polignac number, because 112517537301 - 2¹⁷ = 112517406229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112517537371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480844060 + ... + 480844293.

Almost surely, 2^112517537301 is an apocalyptic number.

It is an amenable number.

112517537301 is a deficient number, since it is larger than the sum of its proper divisors (62509743127).

112517537301 is a wasteful number, since it uses less digits than its factorization.

112517537301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961688372 (or 961688369 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The spelling of 112517537301 in words is "one hundred twelve billion, five hundred seventeen million, five hundred thirty-seven thousand, three hundred one".