825371209824 has 48 divisors (see below), whose sum is σ = 2476113631488. Its totient is φ = 235820345472.

The previous prime is 825371209823. The next prime is 825371209841. The reversal of 825371209824 is 428902173528.

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

It is a super-2 number, since 2×825371209824² (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 (825371209823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614114812 + ... + 614116155.

It is an arithmetic number, because the mean of its divisors is an integer number (51585700656).

Almost surely, 2^825371209824 is an apocalyptic number.

825371209824 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

825371209824 is an abundant number, since it is smaller than the sum of its proper divisors (1650742421664).

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

825371209824 is a wasteful number, since it uses less digits than its factorization.

825371209824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228230987 (or 1228230979 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 825371209824 in words is "eight hundred twenty-five billion, three hundred seventy-one million, two hundred nine thousand, eight hundred twenty-four".