501005413 has 2 divisors, whose sum is σ = 501005414. Its totient is φ = 501005412.

The previous prime is 501005377. The next prime is 501005429. The reversal of 501005413 is 314500105.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 500998689 + 6724 = 22383^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 501005413 - 2¹³ = 500997221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (501005443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250502706 + 250502707.

It is an arithmetic number, because the mean of its divisors is an integer number (250502707).

Almost surely, 2^501005413 is an apocalyptic number.

It is an amenable number.

501005413 is a deficient number, since it is larger than the sum of its proper divisors (1).

501005413 is an equidigital number, since it uses as much as digits as its factorization.

501005413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 501005413 is about 22383.1502027753. The cubic root of 501005413 is about 794.2321676815.

Adding to 501005413 its reverse (314500105), we get a palindrome (815505518).

The spelling of 501005413 in words is "five hundred one million, five thousand, four hundred thirteen".