509496448032001 has 32 divisors (see below), whose sum is σ = 517628604224160. Its totient is φ = 501440800358400.

The previous prime is 509496448031957. The next prime is 509496448032041. The reversal of 509496448032001 is 100230844694905.

It can be written as a sum of positive squares in 16 ways, for example, as 274033591681600 + 235462856350401 = 16553960^2 + 15344799^2 .

It is a cyclic number.

It is not a de Polignac number, because 509496448032001 - 2¹¹ = 509496448029953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509496448032041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47470082031 + ... + 47470092763.

It is an arithmetic number, because the mean of its divisors is an integer number (16175893882005).

Almost surely, 2^{509496448032001} is an apocalyptic number.

It is an amenable number.

509496448032001 is a deficient number, since it is larger than the sum of its proper divisors (8132156192159).

509496448032001 is a wasteful number, since it uses less digits than its factorization.

509496448032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15957.

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 509496448032001 in words is "five hundred nine trillion, four hundred ninety-six billion, four hundred forty-eight million, thirty-two thousand, one".