996257508129 has 135 divisors (see below), whose sum is σ = 1704599826633. Its totient is φ = 579520521216.

The previous prime is 996257508097. The next prime is 996257508139. The reversal of 996257508129 is 921805752699.

The square root of 996257508129 is 998127.

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

996257508129 is a `hidden beast` number, since 9 + 9 + 62 + 57 + 508 + 12 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75325547025 + 920931961104 = 274455^2 + 959652^2 .

It is not a de Polignac number, because 996257508129 - 2⁵ = 996257508097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (996257508139) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2218836097 + ... + 2218836545.

Almost surely, 2^996257508129 is an apocalyptic number.

996257508129 is the 998127-th square number.

996257508129 is the 499064-th centered octagonal number.

It is an amenable number.

996257508129 is a deficient number, since it is larger than the sum of its proper divisors (708342318504).

996257508129 is an equidigital number, since it uses as much as digits as its factorization.

996257508129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 996257508129 in words is "nine hundred ninety-six billion, two hundred fifty-seven million, five hundred eight thousand, one hundred twenty-nine".