6575290878289 has 27 divisors (see below), whose sum is σ = 7678635921243. Its totient is φ = 5614070188608.

The previous prime is 6575290878281. The next prime is 6575290878301. The reversal of 6575290878289 is 9828780925756.

The square root of 6575290878289 is 2564233.

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., 1773091980625 + 4802198897664 = 1331575^2 + 2191392^2 .

It is not a de Polignac number, because 6575290878289 - 2³ = 6575290878281 is a prime.

It is a super-2 number, since 2×6575290878289² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6575290878281) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 6049025104 + ... + 6049026190.

It is an arithmetic number, because the mean of its divisors is an integer number (284393923009).

Almost surely, 2^{6575290878289} is an apocalyptic number.

6575290878289 is the 2564233-rd square number.

6575290878289 is the 1282117-th centered octagonal number.

It is an amenable number.

6575290878289 is a deficient number, since it is larger than the sum of its proper divisors (1103345042954).

6575290878289 is an frugal number, since it uses more digits than its factorization.

6575290878289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 76.

The spelling of 6575290878289 in words is "six trillion, five hundred seventy-five billion, two hundred ninety million, eight hundred seventy-eight thousand, two hundred eighty-nine".