42506413 has 2 divisors, whose sum is σ = 42506414. Its totient is φ = 42506412.

The previous prime is 42506411. The next prime is 42506417. The reversal of 42506413 is 31460524.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40424164 + 2082249 = 6358^2 + 1443^2 .

It is a cyclic number.

It is not a de Polignac number, because 42506413 - 2¹ = 42506411 is a prime.

It is a super-2 number, since 2×42506413² = 3613590292253138, which contains 22 as substring.

Together with 42506411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42506411) 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, 21253206 + 21253207.

It is an arithmetic number, because the mean of its divisors is an integer number (21253207).

Almost surely, 2^42506413 is an apocalyptic number.

It is an amenable number.

42506413 is a deficient number, since it is larger than the sum of its proper divisors (1).

42506413 is an equidigital number, since it uses as much as digits as its factorization.

42506413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 42506413 is about 6519.6942412969. The cubic root of 42506413 is about 348.9941543015.

Adding to 42506413 its reverse (31460524), we get a palindrome (73966937).

The spelling of 42506413 in words is "forty-two million, five hundred six thousand, four hundred thirteen".