85351131 has 16 divisors (see below), whose sum is σ = 126594720. Its totient is φ = 56833920.

The previous prime is 85351129. The next prime is 85351157. The reversal of 85351131 is 13115358.

It is not a de Polignac number, because 85351131 - 2¹ = 85351129 is a prime.

It is a super-2 number, since 2×85351131² = 14569631125958322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 85351095 and 85351104.

It is not an unprimeable number, because it can be changed into a prime (85351121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34471 + ... + 36863.

It is an arithmetic number, because the mean of its divisors is an integer number (7912170).

Almost surely, 2^85351131 is an apocalyptic number.

85351131 is a deficient number, since it is larger than the sum of its proper divisors (41243589).

85351131 is a wasteful number, since it uses less digits than its factorization.

85351131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3717 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 85351131 is about 9238.5675837762. The cubic root of 85351131 is about 440.2875719961.

Adding to 85351131 its reverse (13115358), we get a palindrome (98466489).

It can be divided in two parts, 853 and 51131, that added together give a square (51984 = 228²).

The spelling of 85351131 in words is "eighty-five million, three hundred fifty-one thousand, one hundred thirty-one".