509537952 has 576 divisors, whose sum is σ = 2007742464. Its totient is φ = 123171840.

The previous prime is 509537933. The next prime is 509537969. The reversal of 509537952 is 259735905.

509537952 is a `hidden beast` number, since 509 + 53 + 7 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 509537898 and 509537907.

It is an unprimeable number.

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 in 95 ways as a sum of consecutive naturals, for example, 13771278 + ... + 13771314.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2^509537952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509537952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003871232).

509537952 is an abundant number, since it is smaller than the sum of its proper divisors (1498204512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509537952 is a wasteful number, since it uses less digits than its factorization.

509537952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 509537952 is about 22572.9473485409. The cubic root of 509537952 is about 798.7156224046.

The spelling of 509537952 in words is "five hundred nine million, five hundred thirty-seven thousand, nine hundred fifty-two".