113258641572001 has 8 divisors (see below), whose sum is σ = 113714003881224. Its totient is φ = 112803392962560.

The previous prime is 113258641571969. The next prime is 113258641572017. The reversal of 113258641572001 is 100275146852311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 106769318389776 + 6489323182225 = 10332924^2 + 2547415^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113258641572001 - 2⁵ = 113258641571969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113258641572031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26428420 + ... + 30413461.

It is an arithmetic number, because the mean of its divisors is an integer number (14214250485153).

Almost surely, 2^{113258641572001} is an apocalyptic number.

It is an amenable number.

113258641572001 is a deficient number, since it is larger than the sum of its proper divisors (455362309223).

113258641572001 is an equidigital number, since it uses as much as digits as its factorization.

113258641572001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56849891.

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 113258641572001 in words is "one hundred thirteen trillion, two hundred fifty-eight billion, six hundred forty-one million, five hundred seventy-two thousand, one".