85536361496569 has 9 divisors (see below), whose sum is σ = 85744877379343. Its totient is φ = 85328351526352.

The previous prime is 85536361496567. The next prime is 85536361496581. The reversal of 85536361496569 is 96569416363558.

The square root of 85536361496569 is 9248587.

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

It can be written as a sum of positive squares in only one way, i.e., 82936811511225 + 2599549985344 = 9106965^2 + 1612312^2 .

It is not a de Polignac number, because 85536361496569 - 2¹ = 85536361496567 is a prime.

It is a super-2 number, since 2×85536361496569² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85536361496495 and 85536361496504.

It is not an unprimeable number, because it can be changed into a prime (85536361496567) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3875146917 + ... + 3875168989.

Almost surely, 2^{85536361496569} is an apocalyptic number.

85536361496569 is the 9248587-th square number.

85536361496569 is the 4624294-th centered octagonal number.

It is an amenable number.

85536361496569 is a deficient number, since it is larger than the sum of its proper divisors (208515882774).

85536361496569 is an frugal number, since it uses more digits than its factorization.

85536361496569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44984 (or 22492 counting only the distinct ones).

The product of its digits is 3779136000, while the sum is 76.

The spelling of 85536361496569 in words is "eighty-five trillion, five hundred thirty-six billion, three hundred sixty-one million, four hundred ninety-six thousand, five hundred sixty-nine".