519329216025 has 81 divisors (see below), whose sum is σ = 941046673021. Its totient is φ = 273775918080.

The previous prime is 519329216023. The next prime is 519329216033. The reversal of 519329216025 is 520612923915.

The square root of 519329216025 is 720645.

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

519329216025 is a `hidden beast` number, since 5 + 1 + 9 + 32 + 9 + 2 + 1 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 462551049 + 518866664976 = 21507^2 + 720324^2 .

It is not a de Polignac number, because 519329216025 - 2¹ = 519329216023 is a prime.

It is a super-2 number, since 2×519329216025² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (519329216023) 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 80 ways as a sum of consecutive naturals, for example, 1156635001 + ... + 1156635449.

Almost surely, 2^519329216025 is an apocalyptic number.

519329216025 is the 720645-th square number.

519329216025 is the 360323-rd centered octagonal number.

It is an amenable number.

519329216025 is a deficient number, since it is larger than the sum of its proper divisors (421717456996).

519329216025 is an equidigital number, since it uses as much as digits as its factorization.

519329216025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 519329216025 in words is "five hundred nineteen billion, three hundred twenty-nine million, two hundred sixteen thousand, twenty-five".