513041 has 2 divisors, whose sum is σ = 513042. Its totient is φ = 513040.

The previous prime is 513031. The next prime is 513047. The reversal of 513041 is 140315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 364816 + 148225 = 604^2 + 385^2 .

It is a cyclic number.

It is not a de Polignac number, because 513041 - 2⁶ = 512977 is a prime.

It is a super-2 number, since 2×513041² = 526422135362, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (513047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256520 + 256521.

It is an arithmetic number, because the mean of its divisors is an integer number (256521).

2⁵¹³⁰⁴¹ is an apocalyptic number.

It is an amenable number.

513041 is a deficient number, since it is larger than the sum of its proper divisors (1).

513041 is an equidigital number, since it uses as much as digits as its factorization.

513041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 513041 is about 716.2688042907. The cubic root of 513041 is about 80.0541820455.

Adding to 513041 its reverse (140315), we get a palindrome (653356).

The spelling of 513041 in words is "five hundred thirteen thousand, forty-one".