513414 has 24 divisors (see below), whose sum is σ = 1213992. Its totient is φ = 155520.

The previous prime is 513407. The next prime is 513419. The reversal of 513414 is 414315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513419) 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 11 ways as a sum of consecutive naturals, for example, 1099 + ... + 1494.

It is an arithmetic number, because the mean of its divisors is an integer number (50583).

2⁵¹³⁴¹⁴ is an apocalyptic number.

513414 is an abundant number, since it is smaller than the sum of its proper divisors (700578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513414 is a wasteful number, since it uses less digits than its factorization.

513414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2609 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 513414 is about 716.5291340902. The cubic root of 513414 is about 80.0735781408.

Adding to 513414 its reverse (414315), we get a palindrome (927729).

Subtracting from 513414 its reverse (414315), we obtain a palindrome (99099).

The spelling of 513414 in words is "five hundred thirteen thousand, four hundred fourteen".