825131520 has 240 divisors, whose sum is σ = 2910885120. Its totient is φ = 215949312.

The previous prime is 825131513. The next prime is 825131551. The reversal of 825131520 is 25131528.

It is a happy number.

825131520 is a `hidden beast` number, since 8 + 2 + 5 + 131 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1359057 + ... + 1359663.

It is an arithmetic number, because the mean of its divisors is an integer number (12128688).

Almost surely, 2^825131520 is an apocalyptic number.

825131520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455442560).

825131520 is an abundant number, since it is smaller than the sum of its proper divisors (2085753600).

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

825131520 is a wasteful number, since it uses less digits than its factorization.

825131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 825131520 is about 28725.1026107828. The cubic root of 825131520 is about 937.9385638739.

The spelling of 825131520 in words is "eight hundred twenty-five million, one hundred thirty-one thousand, five hundred twenty".