6813677025 has 27 divisors (see below), whose sum is σ = 12206270739. Its totient is φ = 3633300720.

The previous prime is 6813677011. The next prime is 6813677029. The reversal of 6813677025 is 5207763186.

The square root of 6813677025 is 82545.

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

It can be written as a sum of positive squares in only one way, i.e., 2452923729 + 4360753296 = 49527^2 + 66036^2 .

It is not a de Polignac number, because 6813677025 - 2²⁵ = 6780122593 is a prime.

It is a super-3 number, since 3×6813677025³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6813677029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1235424 + ... + 1240926.

Almost surely, 2^6813677025 is an apocalyptic number.

6813677025 is the 82545-th square number.

6813677025 is the 41273-rd centered octagonal number.

It is an amenable number.

6813677025 is a deficient number, since it is larger than the sum of its proper divisors (5392593714).

6813677025 is an frugal number, since it uses more digits than its factorization.

6813677025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The cubic root of 6813677025 is about 1895.8058013257.

It can be divided in two parts, 68136 and 77025, that added together give a square (145161 = 381²).

The spelling of 6813677025 in words is "six billion, eight hundred thirteen million, six hundred seventy-seven thousand, twenty-five".