6757478235225 has 135 divisors (see below), whose sum is σ = 12739201455981. Its totient is φ = 3541163313600.

The previous prime is 6757478235217. The next prime is 6757478235227. The reversal of 6757478235225 is 5225328747576.

The square root of 6757478235225 is 2599515.

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

6757478235225 is a `hidden beast` number, since 6 + 7 + 574 + 7 + 8 + 2 + 3 + 52 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3112616876121 + 3644861359104 = 1764261^2 + 1909152^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 6757478235225 - 2³ = 6757478235217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6757478235227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7135668202 + ... + 7135669148.

Almost surely, 2^{6757478235225} is an apocalyptic number.

6757478235225 is the 2599515-th square number.

6757478235225 is the 1299758-th centered octagonal number.

It is an amenable number.

6757478235225 is a deficient number, since it is larger than the sum of its proper divisors (5981723220756).

6757478235225 is an frugal number, since it uses more digits than its factorization.

6757478235225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 1016 counting only the distinct ones).

The product of its digits is 197568000, while the sum is 63.

The spelling of 6757478235225 in words is "six trillion, seven hundred fifty-seven billion, four hundred seventy-eight million, two hundred thirty-five thousand, two hundred twenty-five".