77233116055013 has 2 divisors, whose sum is σ = 77233116055014. Its totient is φ = 77233116055012.

The previous prime is 77233116054959. The next prime is 77233116055061. The reversal of 77233116055013 is 31055061133277.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45583467911809 + 31649648143204 = 6751553^2 + 5625802^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77233116055013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77233116055913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38616558027506 + 38616558027507.

It is an arithmetic number, because the mean of its divisors is an integer number (38616558027507).

Almost surely, 2^{77233116055013} is an apocalyptic number.

It is an amenable number.

77233116055013 is a deficient number, since it is larger than the sum of its proper divisors (1).

77233116055013 is an equidigital number, since it uses as much as digits as its factorization.

77233116055013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 396900, while the sum is 44.

The spelling of 77233116055013 in words is "seventy-seven trillion, two hundred thirty-three billion, one hundred sixteen million, fifty-five thousand, thirteen".