509410801 has 4 divisors (see below), whose sum is σ = 509462500. Its totient is φ = 509359104.

The previous prime is 509410753. The next prime is 509410823. The reversal of 509410801 is 108014905.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 48664576 + 460746225 = 6976^2 + 21465^2 .

It is a cyclic number.

It is not a de Polignac number, because 509410801 - 2⁷ = 509410673 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 509410801.

It is not an unprimeable number, because it can be changed into a prime (509410841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5976 + ... + 32473.

It is an arithmetic number, because the mean of its divisors is an integer number (127365625).

Almost surely, 2^509410801 is an apocalyptic number.

It is an amenable number.

509410801 is a deficient number, since it is larger than the sum of its proper divisors (51699).

509410801 is a wasteful number, since it uses less digits than its factorization.

509410801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51698.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 509410801 is about 22570.1307262497. The cubic root of 509410801 is about 798.6491792421.

The spelling of 509410801 in words is "five hundred nine million, four hundred ten thousand, eight hundred one".