85322000511 has 160 divisors (see below), whose sum is σ = 145431576576. Its totient is φ = 49406760000.

The previous prime is 85322000483. The next prime is 85322000549. The reversal of 85322000511 is 11500022358.

It is a happy number.

It is not a de Polignac number, because 85322000511 - 2²¹ = 85319903359 is a prime.

It is a super-2 number, since 2×85322000511² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85322000591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 565046286 + ... + 565046436.

Almost surely, 2^85322000511 is an apocalyptic number.

85322000511 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85322000511 is the 156134-th nonagonal number.

85322000511 is a deficient number, since it is larger than the sum of its proper divisors (60109576065).

85322000511 is a wasteful number, since it uses less digits than its factorization.

85322000511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 85322000511 its reverse (11500022358), we get a palindrome (96822022869).

The spelling of 85322000511 in words is "eighty-five billion, three hundred twenty-two million, five hundred eleven", and thus it is an aban number.