825385130420 has 48 divisors (see below), whose sum is σ = 1736483857920. Its totient is φ = 329549812224.

The previous prime is 825385130411. The next prime is 825385130429. The reversal of 825385130420 is 24031583528.

It is an interprime number because it is at equal distance from previous prime (825385130411) and next prime (825385130429).

It is a super-2 number, since 2×825385130420² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825385130429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26399237 + ... + 26430483.

It is an arithmetic number, because the mean of its divisors is an integer number (36176747040).

Almost surely, 2^825385130420 is an apocalyptic number.

It is an amenable number.

825385130420 is an abundant number, since it is smaller than the sum of its proper divisors (911098727500).

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

825385130420 is a wasteful number, since it uses less digits than its factorization.

825385130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33632 (or 33630 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 825385130420 in words is "eight hundred twenty-five billion, three hundred eighty-five million, one hundred thirty thousand, four hundred twenty".