85225117293 has 24 divisors (see below), whose sum is σ = 125629361208. Its totient is φ = 55654190592.

The previous prime is 85225117283. The next prime is 85225117333. The reversal of 85225117293 is 39271152258.

85225117293 is a `hidden beast` number, since 8 + 522 + 5 + 117 + 2 + 9 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 978313284 + 84246804009 = 31278^2 + 290253^2 .

It is not a de Polignac number, because 85225117293 - 2¹⁷ = 85224986221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85225117223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149521 + ... + 439097.

It is an arithmetic number, because the mean of its divisors is an integer number (5234556717).

Almost surely, 2^85225117293 is an apocalyptic number.

It is an amenable number.

85225117293 is a deficient number, since it is larger than the sum of its proper divisors (40404243915).

85225117293 is a wasteful number, since it uses less digits than its factorization.

85225117293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290253 (or 290250 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 85225117293 in words is "eighty-five billion, two hundred twenty-five million, one hundred seventeen thousand, two hundred ninety-three".