506756249 has 2 divisors, whose sum is σ = 506756250. Its totient is φ = 506756248.

The previous prime is 506756231. The next prime is 506756293. The reversal of 506756249 is 942657605.

It is an a-pointer prime, because the next prime (506756293) can be obtained adding 506756249 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 335146249 + 171610000 = 18307^2 + 13100^2 .

It is a cyclic number.

It is not a de Polignac number, because 506756249 - 2²⁰ = 505707673 is a prime.

It is not a weakly prime, because it can be changed into another prime (506756449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253378124 + 253378125.

It is an arithmetic number, because the mean of its divisors is an integer number (253378125).

Almost surely, 2^506756249 is an apocalyptic number.

It is an amenable number.

506756249 is a deficient number, since it is larger than the sum of its proper divisors (1).

506756249 is an equidigital number, since it uses as much as digits as its factorization.

506756249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 453600, while the sum is 44.

The square root of 506756249 is about 22511.2471666943. The cubic root of 506756249 is about 797.2595024991.

It can be divided in two parts, 5067 and 56249, that added together give a palindrome (61316).

The spelling of 506756249 in words is "five hundred six million, seven hundred fifty-six thousand, two hundred forty-nine".