825309274482 has 384 divisors, whose sum is σ = 2506998988800. Its totient is φ = 198426412800.

The previous prime is 825309274469. The next prime is 825309274501. The reversal of 825309274482 is 284472903528.

825309274482 is a `hidden beast` number, since 8 + 2 + 5 + 3 + 0 + 92 + 74 + 482 = 666.

It is a super-2 number, since 2×825309274482² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20732694 + ... + 20772462.

It is an arithmetic number, because the mean of its divisors is an integer number (6528643200).

Almost surely, 2^825309274482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825309274482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253499494400).

825309274482 is an abundant number, since it is smaller than the sum of its proper divisors (1681689714318).

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

825309274482 is a wasteful number, since it uses less digits than its factorization.

825309274482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39859 (or 39846 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 825309274482 in words is "eight hundred twenty-five billion, three hundred nine million, two hundred seventy-four thousand, four hundred eighty-two".