82207563225313 has 8 divisors (see below), whose sum is σ = 82522838435688. Its totient is φ = 81892524092544.

The previous prime is 82207563225311. The next prime is 82207563225341. The reversal of 82207563225313 is 31352236570228.

It can be written as a sum of positive squares in 4 ways, for example, as 30800857221904 + 51406706003409 = 5549852^2 + 7169847^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82207563225313 - 2¹ = 82207563225311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82207563225311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58321606 + ... + 59714527.

It is an arithmetic number, because the mean of its divisors is an integer number (10315354804461).

Almost surely, 2^{82207563225313} is an apocalyptic number.

It is an amenable number.

82207563225313 is a deficient number, since it is larger than the sum of its proper divisors (315275210375).

82207563225313 is a wasteful number, since it uses less digits than its factorization.

82207563225313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118038803.

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 82207563225313 in words is "eighty-two trillion, two hundred seven billion, five hundred sixty-three million, two hundred twenty-five thousand, three hundred thirteen".