509963139 has 48 divisors (see below), whose sum is σ = 863928000. Its totient is φ = 289747584.

The previous prime is 509963131. The next prime is 509963141. The reversal of 509963139 is 931369905.

509963139 is a `hidden beast` number, since 5 + 0 + 9 + 9 + 631 + 3 + 9 = 666.

It is not a de Polignac number, because 509963139 - 2³ = 509963131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509963094 and 509963103.

It is not an unprimeable number, because it can be changed into a prime (509963131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718917 + ... + 719625.

It is an arithmetic number, because the mean of its divisors is an integer number (17998500).

Almost surely, 2^509963139 is an apocalyptic number.

509963139 is a deficient number, since it is larger than the sum of its proper divisors (353964861).

509963139 is a wasteful number, since it uses less digits than its factorization.

509963139 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 509963139 is about 22582.3634502680. The cubic root of 509963139 is about 798.9377249849.

The spelling of 509963139 in words is "five hundred nine million, nine hundred sixty-three thousand, one hundred thirty-nine".