825713952 has 48 divisors (see below), whose sum is σ = 2477143872. Its totient is φ = 235918080.

The previous prime is 825713927. The next prime is 825713957. The reversal of 825713952 is 259317528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (825713957) 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 7 ways as a sum of consecutive naturals, for example, 613699 + ... + 615042.

It is an arithmetic number, because the mean of its divisors is an integer number (51607164).

Almost surely, 2^825713952 is an apocalyptic number.

It is an amenable number.

825713952 is an abundant number, since it is smaller than the sum of its proper divisors (1651429920).

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

825713952 is a wasteful number, since it uses less digits than its factorization.

825713952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228761 (or 1228753 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 825713952 is about 28735.2388540621. The cubic root of 825713952 is about 938.1591981752.

The spelling of 825713952 in words is "eight hundred twenty-five million, seven hundred thirteen thousand, nine hundred fifty-two".