7980013 has 2 divisors, whose sum is σ = 7980014. Its totient is φ = 7980012.

The previous prime is 7979969. The next prime is 7980029. The reversal of 7980013 is 3100897.

7980013 = 1997² + 1998².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3992004 + 3988009 = 1998^2 + 1997^2 .

It is a cyclic number.

It is not a de Polignac number, because 7980013 - 2⁹ = 7979501 is a prime.

7980013 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7981013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3990006 + 3990007.

It is an arithmetic number, because the mean of its divisors is an integer number (3990007).

Almost surely, 2^7980013 is an apocalyptic number.

7980013 is the 1998-th centered square number.

It is an amenable number.

7980013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7980013 is an equidigital number, since it uses as much as digits as its factorization.

7980013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 7980013 is about 2824.8916793392. The cubic root of 7980013 is about 199.8333027654.

The spelling of 7980013 in words is "seven million, nine hundred eighty thousand, thirteen".