513416 has 16 divisors (see below), whose sum is σ = 996300. Its totient is φ = 247744.

The previous prime is 513407. The next prime is 513419. The reversal of 513416 is 614315.

513416 = T₁₀₃ + T₁₀₄ + ... + T₁₆₀.

It can be written as a sum of positive squares in 2 ways, for example, as 448900 + 64516 = 670^2 + 254^2 .

It is not an unprimeable number, because it can be changed into a prime (513419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 875 + ... + 1338.

2⁵¹³⁴¹⁶ is an apocalyptic number.

It is an amenable number.

513416 is a deficient number, since it is larger than the sum of its proper divisors (482884).

513416 is a wasteful number, since it uses less digits than its factorization.

513416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2244 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 513416 is about 716.5305297055. The cubic root of 513416 is about 80.0736821160.

It can be divided in two parts, 513 and 416, that added together give a palindrome (929).

The spelling of 513416 in words is "five hundred thirteen thousand, four hundred sixteen".