85713101825 has 48 divisors (see below), whose sum is σ = 116668168176. Its totient is φ = 62086348800.

The previous prime is 85713101813. The next prime is 85713101857. The reversal of 85713101825 is 52810131758.

It is a Cunningham number, because it is equal to 292768²+1.

It can be written as a sum of positive squares in 24 ways, for example, as 69459656704 + 16253445121 = 263552^2 + 127489^2 .

It is not a de Polignac number, because 85713101825 - 2⁸ = 85713101569 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3550295 + ... + 3574355.

It is an arithmetic number, because the mean of its divisors is an integer number (2430586837).

Almost surely, 2^85713101825 is an apocalyptic number.

It is an amenable number.

85713101825 is a deficient number, since it is larger than the sum of its proper divisors (30955066351).

85713101825 is a wasteful number, since it uses less digits than its factorization.

85713101825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24294 (or 24289 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 41.

The spelling of 85713101825 in words is "eighty-five billion, seven hundred thirteen million, one hundred one thousand, eight hundred twenty-five".