506325356773013 has 2 divisors, whose sum is σ = 506325356773014. Its totient is φ = 506325356773012.

The previous prime is 506325356772943. The next prime is 506325356773043. The reversal of 506325356773013 is 310377653523605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 453768685611409 + 52556671161604 = 21301847^2 + 7249598^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506325356773013 is a prime.

It is a super-2 number, since 2×506325356773013² (a number of 30 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 506325356773013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506325356773043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253162678386506 + 253162678386507.

It is an arithmetic number, because the mean of its divisors is an integer number (253162678386507).

Almost surely, 2^{506325356773013} is an apocalyptic number.

It is an amenable number.

506325356773013 is a deficient number, since it is larger than the sum of its proper divisors (1).

506325356773013 is an equidigital number, since it uses as much as digits as its factorization.

506325356773013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35721000, while the sum is 56.

The spelling of 506325356773013 in words is "five hundred six trillion, three hundred twenty-five billion, three hundred fifty-six million, seven hundred seventy-three thousand, thirteen".