825626853 has 12 divisors (see below), whose sum is σ = 1194132940. Its totient is φ = 549697536.

The previous prime is 825626807. The next prime is 825626899. The reversal of 825626853 is 358626528.

825626853 is a `hidden beast` number, since 8 + 2 + 562 + 6 + 85 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (825626807) and next prime (825626899).

It can be written as a sum of positive squares in 2 ways, for example, as 198725409 + 626901444 = 14097^2 + 25038^2 .

It is not a de Polignac number, because 825626853 - 2⁸ = 825626597 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 825626799 and 825626808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825626953) 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, 52726 + ... + 66567.

Almost surely, 2^825626853 is an apocalyptic number.

It is an amenable number.

825626853 is a deficient number, since it is larger than the sum of its proper divisors (368506087).

825626853 is a wasteful number, since it uses less digits than its factorization.

825626853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120068 (or 120065 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 825626853 is about 28733.7232707493. The cubic root of 825626853 is about 938.1262103182.

The spelling of 825626853 in words is "eight hundred twenty-five million, six hundred twenty-six thousand, eight hundred fifty-three".