393205013 has 2 divisors, whose sum is σ = 393205014. Its totient is φ = 393205012.

The previous prime is 393205009. The next prime is 393205091. The reversal of 393205013 is 310502393.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 381928849 + 11276164 = 19543^2 + 3358^2 .

It is an emirp because it is prime and its reverse (310502393) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 393205013 - 2² = 393205009 is a prime.

It is a super-2 number, since 2×393205013² = 309220364496660338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (393205003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196602506 + 196602507.

It is an arithmetic number, because the mean of its divisors is an integer number (196602507).

Almost surely, 2^393205013 is an apocalyptic number.

It is an amenable number.

393205013 is a deficient number, since it is larger than the sum of its proper divisors (1).

393205013 is an equidigital number, since it uses as much as digits as its factorization.

393205013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 393205013 is about 19829.3976963497. The cubic root of 393205013 is about 732.6102917247.

The spelling of 393205013 in words is "three hundred ninety-three million, two hundred five thousand, thirteen".