3167002742513 has 2 divisors, whose sum is σ = 3167002742514. Its totient is φ = 3167002742512.

The previous prime is 3167002742503. The next prime is 3167002742539. The reversal of 3167002742513 is 3152472007613.

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., 3058661703409 + 108341039104 = 1748903^2 + 329152^2 .

It is a cyclic number.

It is not a de Polignac number, because 3167002742513 - 2¹⁰ = 3167002741489 is a prime.

It is not a weakly prime, because it can be changed into another prime (3167002742503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1583501371256 + 1583501371257.

It is an arithmetic number, because the mean of its divisors is an integer number (1583501371257).

Almost surely, 2^{3167002742513} is an apocalyptic number.

It is an amenable number.

3167002742513 is a deficient number, since it is larger than the sum of its proper divisors (1).

3167002742513 is an equidigital number, since it uses as much as digits as its factorization.

3167002742513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 3167002742513 in words is "three trillion, one hundred sixty-seven billion, two million, seven hundred forty-two thousand, five hundred thirteen".