513105601 has 2 divisors, whose sum is σ = 513105602. Its totient is φ = 513105600.

The previous prime is 513105563. The next prime is 513105731. The reversal of 513105601 is 106501315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271458576 + 241647025 = 16476^2 + 15545^2 .

It is a cyclic number.

It is not a de Polignac number, because 513105601 - 2¹¹ = 513103553 is a prime.

It is not a weakly prime, because it can be changed into another prime (513105301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256552800 + 256552801.

It is an arithmetic number, because the mean of its divisors is an integer number (256552801).

Almost surely, 2^513105601 is an apocalyptic number.

It is an amenable number.

513105601 is a deficient number, since it is larger than the sum of its proper divisors (1).

513105601 is an equidigital number, since it uses as much as digits as its factorization.

513105601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 513105601 is about 22651.8343848793. The cubic root of 513105601 is about 800.5754198699.

Adding to 513105601 its reverse (106501315), we get a palindrome (619606916).

The spelling of 513105601 in words is "five hundred thirteen million, one hundred five thousand, six hundred one".