506408113 has 2 divisors, whose sum is σ = 506408114. Its totient is φ = 506408112.

The previous prime is 506408107. The next prime is 506408117. The reversal of 506408113 is 311804605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 506385009 + 23104 = 22503^2 + 152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506408113 is a prime.

It is not a weakly prime, because it can be changed into another prime (506408117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253204056 + 253204057.

It is an arithmetic number, because the mean of its divisors is an integer number (253204057).

Almost surely, 2^506408113 is an apocalyptic number.

It is an amenable number.

506408113 is a deficient number, since it is larger than the sum of its proper divisors (1).

506408113 is an equidigital number, since it uses as much as digits as its factorization.

506408113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 506408113 is about 22503.5133479197. The cubic root of 506408113 is about 797.0768911562.

It can be divided in two parts, 506408 and 113, that added together give a triangular number (506521 = T₁₀₀₆).

The spelling of 506408113 in words is "five hundred six million, four hundred eight thousand, one hundred thirteen".