6681733859025 has 81 divisors (see below), whose sum is σ = 12025718164369. Its totient is φ = 3546406943040.

The previous prime is 6681733858999. The next prime is 6681733859051. The reversal of 6681733859025 is 5209583371866.

The square root of 6681733859025 is 2584905.

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

6681733859025 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 7 + 3 + 38 + 590 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (6681733858999) and next prime (6681733859051).

It can be written as a sum of positive squares in 4 ways, for example, as 1110698886609 + 5571034972416 = 1053897^2 + 2360304^2 .

It is not a de Polignac number, because 6681733859025 - 2⁷ = 6681733858897 is a prime.

It is a super-2 number, since 2×6681733859025² (a number of 26 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 80 ways as a sum of consecutive naturals, for example, 15082920454 + ... + 15082920896.

Almost surely, 2^{6681733859025} is an apocalyptic number.

6681733859025 is the 2584905-th square number.

6681733859025 is the 1292453-rd centered octagonal number.

It is an amenable number.

6681733859025 is a deficient number, since it is larger than the sum of its proper divisors (5343984305344).

6681733859025 is an frugal number, since it uses more digits than its factorization.

6681733859025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 6681733859025 in words is "six trillion, six hundred eighty-one billion, seven hundred thirty-three million, eight hundred fifty-nine thousand, twenty-five".