85511210929 has 9 divisors (see below), whose sum is σ = 88367986539. Its totient is φ = 82744012080.

The previous prime is 85511210921. The next prime is 85511210957. The reversal of 85511210929 is 92901211558.

The square root of 85511210929 is 292423.

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., 59445754225 + 26065456704 = 243815^2 + 161448^2 .

It is not a de Polignac number, because 85511210929 - 2³ = 85511210921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85511210921) 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, 9060397 + ... + 9069829.

It is an arithmetic number, because the mean of its divisors is an integer number (9818665171).

Almost surely, 2^85511210929 is an apocalyptic number.

85511210929 is the 292423-rd square number.

85511210929 is the 146212-nd centered octagonal number.

It is an amenable number.

85511210929 is a deficient number, since it is larger than the sum of its proper divisors (2856775610).

85511210929 is an frugal number, since it uses more digits than its factorization.

85511210929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18928 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 43.

The spelling of 85511210929 in words is "eighty-five billion, five hundred eleven million, two hundred ten thousand, nine hundred twenty-nine".