7972618248013 has 2 divisors, whose sum is σ = 7972618248014. Its totient is φ = 7972618248012.

The previous prime is 7972618247987. The next prime is 7972618248031. The reversal of 7972618248013 is 3108428162797.

Together with next prime (7972618248031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4594326459844 + 3378291788169 = 2143438^2 + 1838013^2 .

It is a cyclic number.

It is not a de Polignac number, because 7972618248013 - 2⁵ = 7972618247981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7972618248913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3986309124006 + 3986309124007.

It is an arithmetic number, because the mean of its divisors is an integer number (3986309124007).

Almost surely, 2^{7972618248013} is an apocalyptic number.

It is an amenable number.

7972618248013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7972618248013 is an equidigital number, since it uses as much as digits as its factorization.

7972618248013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 7972618248013 in words is "seven trillion, nine hundred seventy-two billion, six hundred eighteen million, two hundred forty-eight thousand, thirteen".