509477953 has 2 divisors, whose sum is σ = 509477954. Its totient is φ = 509477952.

The previous prime is 509477939. The next prime is 509477957. The reversal of 509477953 is 359774905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 479960464 + 29517489 = 21908^2 + 5433^2 .

It is a cyclic number.

It is not a de Polignac number, because 509477953 - 2¹⁷ = 509346881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509477897 and 509477906.

It is not a weakly prime, because it can be changed into another prime (509477957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254738976 + 254738977.

It is an arithmetic number, because the mean of its divisors is an integer number (254738977).

Almost surely, 2^509477953 is an apocalyptic number.

It is an amenable number.

509477953 is a deficient number, since it is larger than the sum of its proper divisors (1).

509477953 is an equidigital number, since it uses as much as digits as its factorization.

509477953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1190700, while the sum is 49.

The square root of 509477953 is about 22571.6183070687. The cubic root of 509477953 is about 798.6842711123.

The spelling of 509477953 in words is "five hundred nine million, four hundred seventy-seven thousand, nine hundred fifty-three".