509253947 has 2 divisors, whose sum is σ = 509253948. Its totient is φ = 509253946.

The previous prime is 509253931. The next prime is 509253959. The reversal of 509253947 is 749352905.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 509253947 - 2⁴ = 509253931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509253898 and 509253907.

It is not a weakly prime, because it can be changed into another prime (509253047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254626973 + 254626974.

It is an arithmetic number, because the mean of its divisors is an integer number (254626974).

Almost surely, 2^509253947 is an apocalyptic number.

509253947 is a deficient number, since it is larger than the sum of its proper divisors (1).

509253947 is an equidigital number, since it uses as much as digits as its factorization.

509253947 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 340200, while the sum is 44.

The square root of 509253947 is about 22566.6556449998. The cubic root of 509253947 is about 798.5671994477.

It can be divided in two parts, 50925 and 3947, that added together give a cube (54872 = 38³).

The spelling of 509253947 in words is "five hundred nine million, two hundred fifty-three thousand, nine hundred forty-seven".