2005413623 has 2 divisors, whose sum is σ = 2005413624. Its totient is φ = 2005413622.

The previous prime is 2005413601. The next prime is 2005413637. The reversal of 2005413623 is 3263145002.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2005413623 - 2⁶ = 2005413559 is a prime.

It is a super-2 number, since 2×2005413623² = 8043367598627972258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005413592 and 2005413601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005413643) 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, 1002706811 + 1002706812.

It is an arithmetic number, because the mean of its divisors is an integer number (1002706812).

Almost surely, 2^2005413623 is an apocalyptic number.

2005413623 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005413623 is an equidigital number, since it uses as much as digits as its factorization.

2005413623 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2005413623 is about 44781.8447922816. The cubic root of 2005413623 is about 1261.0568153384.

Adding to 2005413623 its reverse (3263145002), we get a palindrome (5268558625).

The spelling of 2005413623 in words is "two billion, five million, four hundred thirteen thousand, six hundred twenty-three".