75691131004225 has 81 divisors (see below), whose sum is σ = 103699417246761. Its totient is φ = 54764473156800.

The previous prime is 75691131004217. The next prime is 75691131004241. The reversal of 75691131004225 is 52240013119657.

The square root of 75691131004225 is 8700065.

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

It can be written as a sum of positive squares in 4 ways, for example, as 30552405020929 + 45138725983296 = 5527423^2 + 6718536^2 .

It is not a de Polignac number, because 75691131004225 - 2³ = 75691131004217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 151685633026 + ... + 151685633524.

Almost surely, 2^{75691131004225} is an apocalyptic number.

75691131004225 is the 8700065-th square number.

75691131004225 is the 4350033-rd centered octagonal number.

It is an amenable number.

75691131004225 is a deficient number, since it is larger than the sum of its proper divisors (28008286242536).

75691131004225 is an frugal number, since it uses more digits than its factorization.

75691131004225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 75691131004225 in words is "seventy-five trillion, six hundred ninety-one billion, one hundred thirty-one million, four thousand, two hundred twenty-five".