6819540530625 has 45 divisors (see below), whose sum is σ = 12309472639893. Its totient is φ = 3636983826000.

The previous prime is 6819540530603. The next prime is 6819540530639. The reversal of 6819540530625 is 5260350459186.

The square root of 6819540530625 is 2611425.

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

6819540530625 is a `hidden beast` number, since 6 + 8 + 1 + 9 + 5 + 4 + 0 + 5 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 534651977601 + 6284888553024 = 731199^2 + 2506968^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2^k-6819540530625 is a prime.

It is a super-2 number, since 2×6819540530625² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 195839466 + ... + 195874284.

Almost surely, 2^{6819540530625} is an apocalyptic number.

6819540530625 is the 2611425-th square number.

6819540530625 is the 1305713-rd centered octagonal number.

It is an amenable number.

6819540530625 is a deficient number, since it is larger than the sum of its proper divisors (5489932109268).

6819540530625 is an frugal number, since it uses more digits than its factorization.

6819540530625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69664 (or 34827 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 6819540530625 in words is "six trillion, eight hundred nineteen billion, five hundred forty million, five hundred thirty thousand, six hundred twenty-five".