825125156496 has 135 divisors (see below), whose sum is σ = 2350839160579. Its totient is φ = 270169254336.

The previous prime is 825125156491. The next prime is 825125156539. The reversal of 825125156496 is 694651521528.

The square root of 825125156496 is 908364.

It is a perfect power (a square), and thus also a powerful number.

825125156496 is a `hidden beast` number, since 8 + 2 + 51 + 2 + 51 + 56 + 496 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825125156491) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 643121071 + ... + 643122353.

Almost surely, 2^825125156496 is an apocalyptic number.

825125156496 is the 908364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825125156496

825125156496 is an abundant number, since it is smaller than the sum of its proper divisors (1525714004083).

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

825125156496 is an equidigital number, since it uses as much as digits as its factorization.

825125156496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 1347 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 825125156496 in words is "eight hundred twenty-five billion, one hundred twenty-five million, one hundred fifty-six thousand, four hundred ninety-six".