8515782961 has 9 divisors (see below), whose sum is σ = 9906866361. Its totient is φ = 7298688852.

The previous prime is 8515782889. The next prime is 8515782991. The reversal of 8515782961 is 1692875158.

The square root of 8515782961 is 92281.

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

It is not a de Polignac number, because 8515782961 - 2⁷ = 8515782833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8515782899 and 8515782908.

It is not an unprimeable number, because it can be changed into a prime (8515782991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 639376 + ... + 652558.

It is an arithmetic number, because the mean of its divisors is an integer number (1100762929).

Almost surely, 2^8515782961 is an apocalyptic number.

8515782961 is the 92281-st square number.

8515782961 is the 46141-st centered octagonal number.

It is an amenable number.

8515782961 is a deficient number, since it is larger than the sum of its proper divisors (1391083400).

8515782961 is an frugal number, since it uses more digits than its factorization.

8515782961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26380 (or 13190 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 52.

The cubic root of 8515782961 is about 2042.0899190352.

The spelling of 8515782961 in words is "eight billion, five hundred fifteen million, seven hundred eighty-two thousand, nine hundred sixty-one".