506829133 has 2 divisors, whose sum is σ = 506829134. Its totient is φ = 506829132.

The previous prime is 506829107. The next prime is 506829149. The reversal of 506829133 is 331928605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 486731844 + 20097289 = 22062^2 + 4483^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506829133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506829092 and 506829101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506829163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253414566 + 253414567.

It is an arithmetic number, because the mean of its divisors is an integer number (253414567).

Almost surely, 2^506829133 is an apocalyptic number.

It is an amenable number.

506829133 is a deficient number, since it is larger than the sum of its proper divisors (1).

506829133 is an equidigital number, since it uses as much as digits as its factorization.

506829133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 506829133 is about 22512.8659437220. The cubic root of 506829133 is about 797.2977225021.

The spelling of 506829133 in words is "five hundred six million, eight hundred twenty-nine thousand, one hundred thirty-three".