509106941 has 8 divisors (see below), whose sum is σ = 581980224. Its totient is φ = 436269600.

The previous prime is 509106931. The next prime is 509106943. The reversal of 509106941 is 149601905.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 509106941 - 2⁶ = 509106877 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509106943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37241 + ... + 49041.

It is an arithmetic number, because the mean of its divisors is an integer number (72747528).

Almost surely, 2^509106941 is an apocalyptic number.

It is an amenable number.

509106941 is a deficient number, since it is larger than the sum of its proper divisors (72873283).

509106941 is a wasteful number, since it uses less digits than its factorization.

509106941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17971.

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 509106941 is about 22563.3982591275. The cubic root of 509106941 is about 798.4903514309.

The spelling of 509106941 in words is "five hundred nine million, one hundred six thousand, nine hundred forty-one".