6575485761441 has 63 divisors (see below), whose sum is σ = 10003308594537. Its totient is φ = 4320283780800.

The previous prime is 6575485761433. The next prime is 6575485761451. The reversal of 6575485761441 is 1441675845756.

The square root of 6575485761441 is 2564271.

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

6575485761441 is a `hidden beast` number, since 6 + 5 + 7 + 5 + 4 + 8 + 5 + 7 + 614 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2589090174225 + 3986395587216 = 1609065^2 + 1996596^2 .

It is not a de Polignac number, because 6575485761441 - 2³ = 6575485761433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6575485761451) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5054177491 + ... + 5054178791.

Almost surely, 2^{6575485761441} is an apocalyptic number.

6575485761441 is the 2564271-st square number.

6575485761441 is the 1282136-th centered octagonal number.

It is an amenable number.

6575485761441 is a deficient number, since it is larger than the sum of its proper divisors (3427822833096).

6575485761441 is an frugal number, since it uses more digits than its factorization.

6575485761441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 1377 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 6575485761441 in words is "six trillion, five hundred seventy-five billion, four hundred eighty-five million, seven hundred sixty-one thousand, four hundred forty-one".