509781401 has 12 divisors (see below), whose sum is σ = 537974892. Its totient is φ = 482873664.

The previous prime is 509781367. The next prime is 509781421. The reversal of 509781401 is 104187905.

It can be written as a sum of positive squares in 6 ways, for example, as 602176 + 509179225 = 776^2 + 22565^2 .

It is not a de Polignac number, because 509781401 - 2¹⁴ = 509765017 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509781421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38855 + ... + 50291.

It is an arithmetic number, because the mean of its divisors is an integer number (44831241).

Almost surely, 2^509781401 is an apocalyptic number.

It is an amenable number.

509781401 is a deficient number, since it is larger than the sum of its proper divisors (28193491).

509781401 is a wasteful number, since it uses less digits than its factorization.

509781401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11548 (or 11519 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 509781401 is about 22578.3391993300. The cubic root of 509781401 is about 798.8428066239.

The spelling of 509781401 in words is "five hundred nine million, seven hundred eighty-one thousand, four hundred one".