852952131 has 12 divisors (see below), whose sum is σ = 1235214240. Its totient is φ = 567170640.

The previous prime is 852952109. The next prime is 852952153. The reversal of 852952131 is 131259258.

852952131 is a `hidden beast` number, since 85 + 29 + 521 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (852952109) and next prime (852952153).

It is not a de Polignac number, because 852952131 - 2¹⁰ = 852951107 is a prime.

It is a super-2 number, since 2×852952131² = 1455054675554882322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (852952531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118315 + ... + 125316.

It is an arithmetic number, because the mean of its divisors is an integer number (102934520).

Almost surely, 2^852952131 is an apocalyptic number.

852952131 is a deficient number, since it is larger than the sum of its proper divisors (382262109).

852952131 is a wasteful number, since it uses less digits than its factorization.

852952131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244026 (or 244023 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 852952131 is about 29205.3442198513. The cubic root of 852952131 is about 948.3636209911.

The spelling of 852952131 in words is "eight hundred fifty-two million, nine hundred fifty-two thousand, one hundred thirty-one".