71590805488225 has 27 divisors (see below), whose sum is σ = 88911885820953. Its totient is φ = 57182922515040.

The previous prime is 71590805488207. The next prime is 71590805488339. The reversal of 71590805488225 is 52288450809517.

The square root of 71590805488225 is 8461135.

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 2153383088481 + 69437422399744 = 1467441^2 + 8332912^2 .

It is not a de Polignac number, because 71590805488225 - 2³⁵ = 71556445749857 is a prime.

It is a super-2 number, since 2×71590805488225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45224765784 + ... + 45224767366.

Almost surely, 2^{71590805488225} is an apocalyptic number.

71590805488225 is the 8461135-th square number.

71590805488225 is the 4230568-th centered octagonal number.

It is an amenable number.

71590805488225 is a deficient number, since it is larger than the sum of its proper divisors (17321080332728).

71590805488225 is an frugal number, since it uses more digits than its factorization.

71590805488225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 64.

The spelling of 71590805488225 in words is "seventy-one trillion, five hundred ninety billion, eight hundred five million, four hundred eighty-eight thousand, two hundred twenty-five".