86917525913601 has 24 divisors (see below), whose sum is σ = 127018214302824. Its totient is φ = 57268303353600.

The previous prime is 86917525913599. The next prime is 86917525913641. The reversal of 86917525913601 is 10631952571968.

86917525913601 is a `hidden beast` number, since 8 + 6 + 9 + 1 + 7 + 5 + 2 + 5 + 9 + 13 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1077319443600 + 85840206470001 = 1037940^2 + 9264999^2 .

It is not a de Polignac number, because 86917525913601 - 2¹ = 86917525913599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86917525913641) 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, 85327476 + ... + 86340101.

It is an arithmetic number, because the mean of its divisors is an integer number (5292425595951).

Almost surely, 2^{86917525913601} is an apocalyptic number.

It is an amenable number.

86917525913601 is a deficient number, since it is larger than the sum of its proper divisors (40100688389223).

86917525913601 is a wasteful number, since it uses less digits than its factorization.

86917525913601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171668241 (or 171668238 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 86917525913601 in words is "eighty-six trillion, nine hundred seventeen billion, five hundred twenty-five million, nine hundred thirteen thousand, six hundred one".