513055201 has 12 divisors (see below), whose sum is σ = 525277116. Its totient is φ = 501097920.

The previous prime is 513055199. The next prime is 513055237. The reversal of 513055201 is 102550315.

It can be written as a sum of positive squares in 6 ways, for example, as 67634176 + 445421025 = 8224^2 + 21105^2 .

It is not a de Polignac number, because 513055201 - 2¹ = 513055199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513055241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 643335 + ... + 644131.

It is an arithmetic number, because the mean of its divisors is an integer number (43773093).

Almost surely, 2^513055201 is an apocalyptic number.

It is an amenable number.

513055201 is a deficient number, since it is larger than the sum of its proper divisors (12221915).

513055201 is an equidigital number, since it uses as much as digits as its factorization.

513055201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 513055201 is about 22650.7218648766. The cubic root of 513055201 is about 800.5492067328.

The spelling of 513055201 in words is "five hundred thirteen million, fifty-five thousand, two hundred one".