85185761956 has 9 divisors (see below), whose sum is σ = 149076104961. Its totient is φ = 42592589112.

The previous prime is 85185761953. The next prime is 85185762023. The reversal of 85185761956 is 65916758158.

The square root of 85185761956 is 291866.

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., 85164748900 + 21013056 = 291830^2 + 4584^2 .

It is a super-2 number, since 2×85185761956² (a number of 23 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 = 85185761894 and 85185761903.

It is not an unprimeable number, because it can be changed into a prime (85185761953) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 510766 + ... + 656698.

Almost surely, 2^85185761956 is an apocalyptic number.

85185761956 is the 291866-th square number.

It is an amenable number.

85185761956 is a deficient number, since it is larger than the sum of its proper divisors (63890343005).

85185761956 is an frugal number, since it uses more digits than its factorization.

85185761956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291870 (or 145935 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 61.

The spelling of 85185761956 in words is "eighty-five billion, one hundred eighty-five million, seven hundred sixty-one thousand, nine hundred fifty-six".