3431434005137 has 2 divisors, whose sum is σ = 3431434005138. Its totient is φ = 3431434005136.

The previous prime is 3431434005133. The next prime is 3431434005277. The reversal of 3431434005137 is 7315004341343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3057178813441 + 374255191696 = 1748479^2 + 611764^2 .

It is an emirp because it is prime and its reverse (7315004341343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3431434005137 - 2² = 3431434005133 is a prime.

It is a super-2 number, since 2×3431434005137² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3431434005137.

It is not a weakly prime, because it can be changed into another prime (3431434005133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1715717002568 + 1715717002569.

It is an arithmetic number, because the mean of its divisors is an integer number (1715717002569).

Almost surely, 2^{3431434005137} is an apocalyptic number.

It is an amenable number.

3431434005137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3431434005137 is an equidigital number, since it uses as much as digits as its factorization.

3431434005137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 38.

The spelling of 3431434005137 in words is "three trillion, four hundred thirty-one billion, four hundred thirty-four million, five thousand, one hundred thirty-seven".