825313520 has 40 divisors (see below), whose sum is σ = 1926037440. Its totient is φ = 328889600.

The previous prime is 825313513. The next prime is 825313537. The reversal of 825313520 is 25313528.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×825313520² = 1362284812589580800, which contains 22 as substring.

It is a congruent number.

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, 2345 + ... + 40695.

It is an arithmetic number, because the mean of its divisors is an integer number (48150936).

Almost surely, 2^825313520 is an apocalyptic number.

825313520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825313520 is an abundant number, since it is smaller than the sum of its proper divisors (1100723920).

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

825313520 is a wasteful number, since it uses less digits than its factorization.

825313520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38633 (or 38627 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 825313520 is about 28728.2703969452. The cubic root of 825313520 is about 938.0075194545.

The spelling of 825313520 in words is "eight hundred twenty-five million, three hundred thirteen thousand, five hundred twenty".