405513233 has 2 divisors, whose sum is σ = 405513234. Its totient is φ = 405513232.

The previous prime is 405513209. The next prime is 405513239. The reversal of 405513233 is 332315504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404331664 + 1181569 = 20108^2 + 1087^2 .

It is a cyclic number.

It is not a de Polignac number, because 405513233 - 2⁶ = 405513169 is a prime.

It is a super-2 number, since 2×405513233² = 328881964276224578, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (405513239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202756616 + 202756617.

It is an arithmetic number, because the mean of its divisors is an integer number (202756617).

Almost surely, 2^405513233 is an apocalyptic number.

It is an amenable number.

405513233 is a deficient number, since it is larger than the sum of its proper divisors (1).

405513233 is an equidigital number, since it uses as much as digits as its factorization.

405513233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 405513233 is about 20137.3591366892. The cubic root of 405513233 is about 740.1760191216.

Adding to 405513233 its reverse (332315504), we get a palindrome (737828737).

The spelling of 405513233 in words is "four hundred five million, five hundred thirteen thousand, two hundred thirty-three".