825738956 has 24 divisors (see below), whose sum is σ = 1652115360. Its totient is φ = 353751552.

The previous prime is 825738923. The next prime is 825738967. The reversal of 825738956 is 659837528.

It is a junction number, because it is equal to n+sod(n) for n = 825738898 and 825738907.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107996 + ... + 115388.

It is an arithmetic number, because the mean of its divisors is an integer number (68838140).

Almost surely, 2^825738956 is an apocalyptic number.

It is an amenable number.

825738956 is an abundant number, since it is smaller than the sum of its proper divisors (826376404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825738956 is a wasteful number, since it uses less digits than its factorization.

825738956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11393 (or 11391 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 53.

The square root of 825738956 is about 28735.6739263237. The cubic root of 825738956 is about 938.1686677563.

The spelling of 825738956 in words is "eight hundred twenty-five million, seven hundred thirty-eight thousand, nine hundred fifty-six".