6682354250625 has 75 divisors (see below), whose sum is σ = 12474945748111. Its totient is φ = 3563612064000.

The previous prime is 6682354250569. The next prime is 6682354250633. The reversal of 6682354250625 is 5260524532866.

The square root of 6682354250625 is 2585025.

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

6682354250625 is a `hidden beast` number, since 6 + 6 + 8 + 2 + 3 + 5 + 4 + 2 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 6393701644929 + 288652605696 = 2528577^2 + 537264^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 6682354250625 - 2⁷ = 6682354250497 is a prime.

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 74 ways as a sum of consecutive naturals, for example, 581624881 + ... + 581636369.

Almost surely, 2^{6682354250625} is an apocalyptic number.

6682354250625 is the 2585025-th square number.

6682354250625 is the 1292513-rd centered octagonal number.

It is an amenable number.

6682354250625 is a deficient number, since it is larger than the sum of its proper divisors (5792591497486).

6682354250625 is an frugal number, since it uses more digits than its factorization.

6682354250625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23010 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 6682354250625 in words is "six trillion, six hundred eighty-two billion, three hundred fifty-four million, two hundred fifty thousand, six hundred twenty-five".