509591409601 has 4 divisors (see below), whose sum is σ = 514636869204. Its totient is φ = 504545950000.

The previous prime is 509591409527. The next prime is 509591409619. The reversal of 509591409601 is 106904195905.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 424385799601 + 85205610000 = 651449^2 + 291900^2 .

It is a cyclic number.

It is not a de Polignac number, because 509591409601 - 2³¹ = 507443925953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509591409001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2522729650 + ... + 2522729851.

It is an arithmetic number, because the mean of its divisors is an integer number (128659217301).

Almost surely, 2^509591409601 is an apocalyptic number.

It is an amenable number.

509591409601 is a deficient number, since it is larger than the sum of its proper divisors (5045459603).

509591409601 is a wasteful number, since it uses less digits than its factorization.

509591409601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045459602.

The product of its (nonzero) digits is 437400, while the sum is 49.

The spelling of 509591409601 in words is "five hundred nine billion, five hundred ninety-one million, four hundred nine thousand, six hundred one".