496981290961 has 7 divisors (see below), whose sum is σ = 502628805631. Its totient is φ = 491397231512.

The previous prime is 496981290929. The next prime is 496981290977. The reversal of 496981290961 is 169092189694.

The square root of 496981290961 is 704969.

The cubic root of 496981290961 is 7921.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 475384049361 + 21597241600 = 689481^2 + 146960^2 .

It is not a de Polignac number, because 496981290961 - 2⁵ = 496981290929 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 496981290893 and 496981290902.

It is not an unprimeable number, because it can be changed into a prime (496981290901) 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 6 ways as a sum of consecutive naturals, for example, 5584059405 + ... + 5584059493.

Almost surely, 2^496981290961 is an apocalyptic number.

496981290961 is the 704969-th square number.

496981290961 is the 352485-th centered octagonal number.

It is an amenable number.

496981290961 is a deficient number, since it is larger than the sum of its proper divisors (5647514670).

496981290961 is an frugal number, since it uses more digits than its factorization.

496981290961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 64.

Multiplying 496981290961 by its sum of digits (64), we get a 6-th power (31806802621504 = 178⁶).

The spelling of 496981290961 in words is "four hundred ninety-six billion, nine hundred eighty-one million, two hundred ninety thousand, nine hundred sixty-one".