509450041 has 3 divisors (see below), whose sum is σ = 509472613. Its totient is φ = 509427470.

The previous prime is 509450009. The next prime is 509450057. The reversal of 509450041 is 140054905.

The square root of 509450041 is 22571.

It is a perfect power (a square), and thus also a powerful 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 is not a de Polignac number, because 509450041 - 2⁵ = 509450009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 509449991 and 509450009.

It is not an unprimeable number, because it can be changed into a prime (509450741) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11286 + ... + 33856.

Almost surely, 2^509450041 is an apocalyptic number.

509450041 is the 22571-st square number.

509450041 is the 11286-th centered octagonal number.

It is an amenable number.

509450041 is a deficient number, since it is larger than the sum of its proper divisors (22572).

509450041 is an frugal number, since it uses more digits than its factorization.

509450041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45142 (or 22571 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 509450041 is about 798.6696854092.

Multiplying 509450041 by its product of nonzero digits (3600), we get a square (1834020147600 = 1354260²).

The spelling of 509450041 in words is "five hundred nine million, four hundred fifty thousand, forty-one".