513354 has 16 divisors (see below), whose sum is σ = 1042848. Its totient is φ = 168432.

The previous prime is 513353. The next prime is 513367. The reversal of 513354 is 453315.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 513354.

It is not an unprimeable number, because it can be changed into a prime (513353) 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 7 ways as a sum of consecutive naturals, for example, 237 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (65178).

2⁵¹³³⁵⁴ is an apocalyptic number.

513354 is an abundant number, since it is smaller than the sum of its proper divisors (529494).

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

513354 is a wasteful number, since it uses less digits than its factorization.

513354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349.

The product of its digits is 900, while the sum is 21.

The square root of 513354 is about 716.4872643669. The cubic root of 513354 is about 80.0704587597.

Adding to 513354 its reverse (453315), we get a palindrome (966669).

The spelling of 513354 in words is "five hundred thirteen thousand, three hundred fifty-four".