996153705625 has 135 divisors (see below), whose sum is σ = 1402219125153. Its totient is φ = 707116176000.

The previous prime is 996153705623. The next prime is 996153705643. The reversal of 996153705625 is 526507351699.

The square root of 996153705625 is 998075.

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

It can be written as a sum of positive squares in 22 ways, for example, as 949009137241 + 47144568384 = 974171^2 + 217128^2 .

It is not a de Polignac number, because 996153705625 - 2¹ = 996153705623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 996153705625.

It is not an unprimeable number, because it can be changed into a prime (996153705623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12001851834 + ... + 12001851916.

Almost surely, 2^996153705625 is an apocalyptic number.

996153705625 is the 998075-th square number.

996153705625 is the 499038-th centered octagonal number.

It is an amenable number.

996153705625 is a deficient number, since it is larger than the sum of its proper divisors (406065419528).

996153705625 is an frugal number, since it uses more digits than its factorization.

996153705625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 15309000, while the sum is 58.

The spelling of 996153705625 in words is "nine hundred ninety-six billion, one hundred fifty-three million, seven hundred five thousand, six hundred twenty-five".