513016133 has 6 divisors (see below), whose sum is σ = 596773926. Its totient is φ = 439728072.

The previous prime is 513016121. The next prime is 513016159. The reversal of 513016133 is 331610315.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 386633569 + 126382564 = 19663^2 + 11242^2 .

It is not a de Polignac number, because 513016133 - 2⁶ = 513016069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513016099 and 513016108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513013133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5234810 + ... + 5234907.

It is an arithmetic number, because the mean of its divisors is an integer number (99462321).

Almost surely, 2^513016133 is an apocalyptic number.

It is an amenable number.

513016133 is a deficient number, since it is larger than the sum of its proper divisors (83757793).

513016133 is a wasteful number, since it uses less digits than its factorization.

513016133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469731 (or 10469724 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 513016133 is about 22649.8594476875. The cubic root of 513016133 is about 800.5288862097.

Adding to 513016133 its reverse (331610315), we get a palindrome (844626448).

The spelling of 513016133 in words is "five hundred thirteen million, sixteen thousand, one hundred thirty-three".