2005315493 has 2 divisors, whose sum is σ = 2005315494. Its totient is φ = 2005315492.

The previous prime is 2005315469. The next prime is 2005315511. The reversal of 2005315493 is 3945135002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1139602564 + 865712929 = 33758^2 + 29423^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005315493 - 2²² = 2001121189 is a prime.

It is a super-3 number, since 3×2005315493³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005312493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002657746 + 1002657747.

It is an arithmetic number, because the mean of its divisors is an integer number (1002657747).

Almost surely, 2^2005315493 is an apocalyptic number.

It is an amenable number.

2005315493 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005315493 is an equidigital number, since it uses as much as digits as its factorization.

2005315493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 2005315493 is about 44780.7491339750. The cubic root of 2005315493 is about 1261.0362460949.

The spelling of 2005315493 in words is "two billion, five million, three hundred fifteen thousand, four hundred ninety-three".