85536620457201 has 27 divisors (see below), whose sum is σ = 123696178066539. Its totient is φ = 56958360129792.

The previous prime is 85536620457157. The next prime is 85536620457241. The reversal of 85536620457201 is 10275402663558.

The square root of 85536620457201 is 9248601.

It is a perfect power (a square), and thus also a powerful number.

85536620457201 is a `hidden beast` number, since 8 + 5 + 5 + 3 + 6 + 62 + 0 + 4 + 572 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80943095025 + 85455677362176 = 284505^2 + 9244224^2 .

It is not a de Polignac number, because 85536620457201 - 2³⁷ = 85399181503729 is a prime.

It is a super-2 number, since 2×85536620457201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85536620457241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40481125521 + ... + 40481127633.

Almost surely, 2^{85536620457201} is an apocalyptic number.

85536620457201 is the 9248601-st square number.

85536620457201 is the 4624301-st centered octagonal number.

It is an amenable number.

85536620457201 is a deficient number, since it is larger than the sum of its proper divisors (38159557609338).

85536620457201 is an frugal number, since it uses more digits than its factorization.

85536620457201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 85536620457201 in words is "eighty-five trillion, five hundred thirty-six billion, six hundred twenty million, four hundred fifty-seven thousand, two hundred one".