7995270863281 has 27 divisors (see below), whose sum is σ = 8709293387169. Its totient is φ = 7336444987872.

The previous prime is 7995270863219. The next prime is 7995270863287. The reversal of 7995270863281 is 1823680725997.

The square root of 7995270863281 is 2827591.

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 584244680881 + 7411026182400 = 764359^2 + 2722320^2 .

It is not a de Polignac number, because 7995270863281 - 2²³ = 7995262474673 is a prime.

It is a super-2 number, since 2×7995270863281² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7995270863287) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7314977371 + ... + 7314978463.

It is an arithmetic number, because the mean of its divisors is an integer number (322566421747).

Almost surely, 2^{7995270863281} is an apocalyptic number.

7995270863281 is the 2827591-st square number.

7995270863281 is the 1413796-th centered octagonal number.

It is an amenable number.

7995270863281 is a deficient number, since it is larger than the sum of its proper divisors (714022523888).

7995270863281 is an frugal number, since it uses more digits than its factorization.

7995270863281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 67.

The spelling of 7995270863281 in words is "seven trillion, nine hundred ninety-five billion, two hundred seventy million, eight hundred sixty-three thousand, two hundred eighty-one".