506505949 has 2 divisors, whose sum is σ = 506505950. Its totient is φ = 506505948.

The previous prime is 506505947. The next prime is 506505983. The reversal of 506505949 is 949505605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 334633849 + 171872100 = 18293^2 + 13110^2 .

It is a cyclic number.

It is not a de Polignac number, because 506505949 - 2¹ = 506505947 is a prime.

Together with 506505947, 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 (506505941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253252974 + 253252975.

It is an arithmetic number, because the mean of its divisors is an integer number (253252975).

Almost surely, 2^506505949 is an apocalyptic number.

It is an amenable number.

506505949 is a deficient number, since it is larger than the sum of its proper divisors (1).

506505949 is an equidigital number, since it uses as much as digits as its factorization.

506505949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243000, while the sum is 43.

The square root of 506505949 is about 22505.6870368358. The cubic root of 506505949 is about 797.1282185285.

The spelling of 506505949 in words is "five hundred six million, five hundred five thousand, nine hundred forty-nine".