513633041 has 2 divisors, whose sum is σ = 513633042. Its totient is φ = 513633040.

The previous prime is 513633013. The next prime is 513633059. The reversal of 513633041 is 140336315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 420414016 + 93219025 = 20504^2 + 9655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513633041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513633041.

It is not a weakly prime, because it can be changed into another prime (513633011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256816520 + 256816521.

It is an arithmetic number, because the mean of its divisors is an integer number (256816521).

Almost surely, 2^513633041 is an apocalyptic number.

It is an amenable number.

513633041 is a deficient number, since it is larger than the sum of its proper divisors (1).

513633041 is an equidigital number, since it uses as much as digits as its factorization.

513633041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 513633041 is about 22663.4737187396. The cubic root of 513633041 is about 800.8496395089.

Adding to 513633041 its reverse (140336315), we get a palindrome (653969356).

The spelling of 513633041 in words is "five hundred thirteen million, six hundred thirty-three thousand, forty-one".