507105329 has 2 divisors, whose sum is σ = 507105330. Its totient is φ = 507105328.

The previous prime is 507105317. The next prime is 507105331. The reversal of 507105329 is 923501705.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 421357729 + 85747600 = 20527^2 + 9260^2 .

It is a cyclic number.

It is not a de Polignac number, because 507105329 - 2⁸ = 507105073 is a prime.

Together with 507105331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 507105295 and 507105304.

It is not a weakly prime, because it can be changed into another prime (507105229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253552664 + 253552665.

It is an arithmetic number, because the mean of its divisors is an integer number (253552665).

Almost surely, 2^507105329 is an apocalyptic number.

It is an amenable number.

507105329 is a deficient number, since it is larger than the sum of its proper divisors (1).

507105329 is an equidigital number, since it uses as much as digits as its factorization.

507105329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 507105329 is about 22518.9992894889. Note that the first 3 decimals coincide. The cubic root of 507105329 is about 797.4425250522.

Adding to 507105329 its sum of digits (32), we get a square (507105361 = 22519²).

The spelling of 507105329 in words is "five hundred seven million, one hundred five thousand, three hundred twenty-nine".