6005177265413 has 2 divisors, whose sum is σ = 6005177265414. Its totient is φ = 6005177265412.

The previous prime is 6005177265343. The next prime is 6005177265457. The reversal of 6005177265413 is 3145627715006.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5550655896289 + 454521369124 = 2355983^2 + 674182^2 .

It is a cyclic number.

It is not a de Polignac number, because 6005177265413 - 2¹⁰ = 6005177264389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6005177265463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3002588632706 + 3002588632707.

It is an arithmetic number, because the mean of its divisors is an integer number (3002588632707).

Almost surely, 2^{6005177265413} is an apocalyptic number.

It is an amenable number.

6005177265413 is a deficient number, since it is larger than the sum of its proper divisors (1).

6005177265413 is an equidigital number, since it uses as much as digits as its factorization.

6005177265413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 6005177265413 in words is "six trillion, five billion, one hundred seventy-seven million, two hundred sixty-five thousand, four hundred thirteen".