509479953 has 32 divisors (see below), whose sum is σ = 751804416. Its totient is φ = 305534208.

The previous prime is 509479951. The next prime is 509479963. The reversal of 509479953 is 359974905.

It is a happy number.

It is not a de Polignac number, because 509479953 - 2¹ = 509479951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 509479896 and 509479905.

It is not an unprimeable number, because it can be changed into a prime (509479951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100600 + ... + 105542.

It is an arithmetic number, because the mean of its divisors is an integer number (23493888).

Almost surely, 2^509479953 is an apocalyptic number.

It is an amenable number.

509479953 is a deficient number, since it is larger than the sum of its proper divisors (242324463).

509479953 is a wasteful number, since it uses less digits than its factorization.

509479953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053.

The product of its (nonzero) digits is 1530900, while the sum is 51.

The square root of 509479953 is about 22571.6626104503. The cubic root of 509479953 is about 798.6853162125.

The spelling of 509479953 in words is "five hundred nine million, four hundred seventy-nine thousand, nine hundred fifty-three".