505958413 has 2 divisors, whose sum is σ = 505958414. Its totient is φ = 505958412.

The previous prime is 505958371. The next prime is 505958419. The reversal of 505958413 is 314859505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262504804 + 243453609 = 16202^2 + 15603^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505958413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505958419) 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, 252979206 + 252979207.

It is an arithmetic number, because the mean of its divisors is an integer number (252979207).

Almost surely, 2^505958413 is an apocalyptic number.

It is an amenable number.

505958413 is a deficient number, since it is larger than the sum of its proper divisors (1).

505958413 is an equidigital number, since it uses as much as digits as its factorization.

505958413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108000, while the sum is 40.

The square root of 505958413 is about 22493.5193555833. The cubic root of 505958413 is about 796.8408814878.

The spelling of 505958413 in words is "five hundred five million, nine hundred fifty-eight thousand, four hundred thirteen".