825653137420 has 48 divisors (see below), whose sum is σ = 1783049859360. Its totient is φ = 320917192704.

The previous prime is 825653137403. The next prime is 825653137427. The reversal of 825653137420 is 24731356528.

It is not an unprimeable number, because it can be changed into a prime (825653137427) 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 15 ways as a sum of consecutive naturals, for example, 156394 + ... + 1294513.

It is an arithmetic number, because the mean of its divisors is an integer number (37146872070).

Almost surely, 2^825653137420 is an apocalyptic number.

It is an amenable number.

825653137420 is an abundant number, since it is smaller than the sum of its proper divisors (957396721940).

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

825653137420 is a wasteful number, since it uses less digits than its factorization.

825653137420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451722 (or 1451720 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 825653137420 in words is "eight hundred twenty-five billion, six hundred fifty-three million, one hundred thirty-seven thousand, four hundred twenty".