825772512 has 96 divisors (see below), whose sum is σ = 2235727872. Its totient is φ = 266678784.

The previous prime is 825772481. The next prime is 825772531. The reversal of 825772512 is 215277528.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360113 + ... + 1360719.

It is an arithmetic number, because the mean of its divisors is an integer number (23288832).

Almost surely, 2^825772512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825772512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117863936).

825772512 is an abundant number, since it is smaller than the sum of its proper divisors (1409955360).

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

825772512 is a wasteful number, since it uses less digits than its factorization.

825772512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1032 counting only the distinct ones).

The product of its digits is 78400, while the sum is 39.

The square root of 825772512 is about 28736.2577939439. The cubic root of 825772512 is about 938.1813758732.

The spelling of 825772512 in words is "eight hundred twenty-five million, seven hundred seventy-two thousand, five hundred twelve".