505605013 has 2 divisors, whose sum is σ = 505605014. Its totient is φ = 505605012.

The previous prime is 505604999. The next prime is 505605017. The reversal of 505605013 is 310506505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 440286289 + 65318724 = 20983^2 + 8082^2 .

It is a cyclic number.

It is not a de Polignac number, because 505605013 - 2²¹ = 503507861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505605017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252802506 + 252802507.

It is an arithmetic number, because the mean of its divisors is an integer number (252802507).

Almost surely, 2^505605013 is an apocalyptic number.

It is an amenable number.

505605013 is a deficient number, since it is larger than the sum of its proper divisors (1).

505605013 is an equidigital number, since it uses as much as digits as its factorization.

505605013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 505605013 is about 22485.6623873970. The cubic root of 505605013 is about 796.6553134318.

The spelling of 505605013 in words is "five hundred five million, six hundred five thousand, thirteen".