8519282525961 has 63 divisors (see below), whose sum is σ = 13570769960791. Its totient is φ = 5344591564224.

The previous prime is 8519282525959. The next prime is 8519282525987. The reversal of 8519282525961 is 1695252829158.

The square root of 8519282525961 is 2918781.

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

8519282525961 is a `hidden beast` number, since 8 + 5 + 19 + 2 + 8 + 2 + 525 + 96 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6632659406025 + 1886623119936 = 2575395^2 + 1373544^2 .

It is not a de Polignac number, because 8519282525961 - 2¹ = 8519282525959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8519282525161) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1339717300 + ... + 1339723658.

Almost surely, 2^{8519282525961} is an apocalyptic number.

8519282525961 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8519282525961 is the 2918781-st square number.

8519282525961 is the 1459391-st centered octagonal number.

It is an amenable number.

8519282525961 is a deficient number, since it is larger than the sum of its proper divisors (5051487434830).

8519282525961 is an frugal number, since it uses more digits than its factorization.

8519282525961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12770 (or 6379 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 63.

The spelling of 8519282525961 in words is "eight trillion, five hundred nineteen billion, two hundred eighty-two million, five hundred twenty-five thousand, nine hundred sixty-one".