825465034512 has 150 divisors (see below), whose sum is σ = 2530086012234. Its totient is φ = 258927114240.

The previous prime is 825465034453. The next prime is 825465034523. The reversal of 825465034512 is 215430564528.

825465034512 is a `hidden beast` number, since 8 + 2 + 54 + 6 + 50 + 34 + 512 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8256266496 + 817208768016 = 90864^2 + 903996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 134854812 + ... + 134860932.

Almost surely, 2^825465034512 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 825465034512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265043006117).

825465034512 is an abundant number, since it is smaller than the sum of its proper divisors (1704620977722).

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

825465034512 is an frugal number, since it uses more digits than its factorization.

825465034512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12279 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 825465034512 in words is "eight hundred twenty-five billion, four hundred sixty-five million, thirty-four thousand, five hundred twelve".