825712518312 has 192 divisors, whose sum is σ = 2481289312320. Its totient is φ = 245946240000.

The previous prime is 825712518307. The next prime is 825712518329. The reversal of 825712518312 is 213815217528.

825712518312 is a `hidden beast` number, since 82 + 5 + 7 + 1 + 251 + 8 + 312 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83139987 + ... + 83149917.

It is an arithmetic number, because the mean of its divisors is an integer number (12923381835).

Almost surely, 2^825712518312 is an apocalyptic number.

825712518312 is the 454344-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825712518312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240644656160).

825712518312 is an abundant number, since it is smaller than the sum of its proper divisors (1655576794008).

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

825712518312 is a wasteful number, since it uses less digits than its factorization.

With its successor (825712518313) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (11736).

825712518312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11736 (or 11729 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The spelling of 825712518312 in words is "eight hundred twenty-five billion, seven hundred twelve million, five hundred eighteen thousand, three hundred twelve".