825150486912 has 256 divisors, whose sum is σ = 2380172921280. Its totient is φ = 252255928320.

The previous prime is 825150486893. The next prime is 825150486913. The reversal of 825150486912 is 219684051528.

It is a super-2 number, since 2×825150486912² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825150486913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347138268 + ... + 347140644.

Almost surely, 2^825150486912 is an apocalyptic number.

825150486912 is a gapful number since it is divisible by the number (82) 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 825150486912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190086460640).

825150486912 is an abundant number, since it is smaller than the sum of its proper divisors (1555022434368).

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

825150486912 is a wasteful number, since it uses less digits than its factorization.

825150486912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 825150486912 in words is "eight hundred twenty-five billion, one hundred fifty million, four hundred eighty-six thousand, nine hundred twelve".