7957013 has 2 divisors, whose sum is σ = 7957014. Its totient is φ = 7957012.

The previous prime is 7956989. The next prime is 7957039. The reversal of 7957013 is 3107597.

7957013 is nontrivially palindromic in base 14.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7524049 + 432964 = 2743^2 + 658^2 .

It is an emirp because it is prime and its reverse (3107597) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7957013 - 2¹⁴ = 7940629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7957613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3978506 + 3978507.

It is an arithmetic number, because the mean of its divisors is an integer number (3978507).

Almost surely, 2^7957013 is an apocalyptic number.

It is an amenable number.

7957013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7957013 is an equidigital number, since it uses as much as digits as its factorization.

7957013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6615, while the sum is 32.

The square root of 7957013 is about 2820.8177892235. The cubic root of 7957013 is about 199.6411314520.

The spelling of 7957013 in words is "seven million, nine hundred fifty-seven thousand, thirteen".