2957496013 has 2 divisors, whose sum is σ = 2957496014. Its totient is φ = 2957496012.

The previous prime is 2957495987. The next prime is 2957496041. The reversal of 2957496013 is 3106947592.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2839078089 + 118417924 = 53283^2 + 10882^2 .

It is a cyclic number.

It is not a de Polignac number, because 2957496013 - 2²¹ = 2955398861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2957496043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1478748006 + 1478748007.

It is an arithmetic number, because the mean of its divisors is an integer number (1478748007).

Almost surely, 2^2957496013 is an apocalyptic number.

It is an amenable number.

2957496013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2957496013 is an equidigital number, since it uses as much as digits as its factorization.

2957496013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 2957496013 is about 54382.8650679605. The cubic root of 2957496013 is about 1435.4058855013.

The spelling of 2957496013 in words is "two billion, nine hundred fifty-seven million, four hundred ninety-six thousand, thirteen".