513003413 has 8 divisors (see below), whose sum is σ = 555520056. Its totient is φ = 470923200.

The previous prime is 513003347. The next prime is 513003427. The reversal of 513003413 is 314300315.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25786084 + 487217329 = 5078^2 + 22073^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513003413 - 2⁸ = 513003157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513003433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106658 + ... + 111363.

It is an arithmetic number, because the mean of its divisors is an integer number (69440007).

Almost surely, 2^513003413 is an apocalyptic number.

It is an amenable number.

513003413 is a deficient number, since it is larger than the sum of its proper divisors (42516643).

513003413 is a wasteful number, since it uses less digits than its factorization.

513003413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218215.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 513003413 is about 22649.5786495025. The cubic root of 513003413 is about 800.5222699060.

Adding to 513003413 its reverse (314300315), we get a palindrome (827303728).

The spelling of 513003413 in words is "five hundred thirteen million, three thousand, four hundred thirteen".