825813157 has 16 divisors (see below), whose sum is σ = 904241520. Its totient is φ = 749578752.

The previous prime is 825813119. The next prime is 825813173. The reversal of 825813157 is 751318528.

It can be written as a sum of positive squares in 8 ways, for example, as 16638241 + 809174916 = 4079^2 + 28446^2 .

It is a de Polignac number, because none of the positive numbers 2^k-825813157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825813187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368043 + ... + 370279.

It is an arithmetic number, because the mean of its divisors is an integer number (56515095).

Almost surely, 2^825813157 is an apocalyptic number.

It is an amenable number.

825813157 is a deficient number, since it is larger than the sum of its proper divisors (78428363).

825813157 is a wasteful number, since it uses less digits than its factorization.

825813157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712.

The product of its digits is 67200, while the sum is 40.

The square root of 825813157 is about 28736.9649928450. The cubic root of 825813157 is about 938.1967682304.

The spelling of 825813157 in words is "eight hundred twenty-five million, eight hundred thirteen thousand, one hundred fifty-seven".