8519305876225 has 27 divisors (see below), whose sum is σ = 10644109202811. Its totient is φ = 6764109110400.

The previous prime is 8519305876157. The next prime is 8519305876267. The reversal of 8519305876225 is 5226785039158.

The square root of 8519305876225 is 2918785.

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

It can be written as a sum of positive squares in 13 ways, for example, as 474050151169 + 8045255725056 = 688513^2 + 2836416^2 .

It is not a de Polignac number, because 8519305876225 - 2³³ = 8510715941633 is a prime.

It is a super-2 number, since 2×8519305876225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1999365595 + ... + 1999369855.

Almost surely, 2^{8519305876225} is an apocalyptic number.

8519305876225 is the 2918785-th square number.

8519305876225 is the 1459393-rd centered octagonal number.

It is an amenable number.

8519305876225 is a deficient number, since it is larger than the sum of its proper divisors (2124803326586).

8519305876225 is an frugal number, since it uses more digits than its factorization.

8519305876225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8806 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 61.

The spelling of 8519305876225 in words is "eight trillion, five hundred nineteen billion, three hundred five million, eight hundred seventy-six thousand, two hundred twenty-five".