513054 has 20 divisors (see below), whose sum is σ = 1149984. Its totient is φ = 170964.

The previous prime is 513053. The next prime is 513059. The reversal of 513054 is 450315.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513054.

It is not an unprimeable number, because it can be changed into a prime (513053) 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 9 ways as a sum of consecutive naturals, for example, 1422 + ... + 1745.

2⁵¹³⁰⁵⁴ is an apocalyptic number.

513054 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

513054 is an abundant number, since it is smaller than the sum of its proper divisors (636930).

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

513054 is a wasteful number, since it uses less digits than its factorization.

513054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 513054 is about 716.2778790386. The cubic root of 513054 is about 80.0548582069.

Adding to 513054 its reverse (450315), we get a palindrome (963369).

It can be divided in two parts, 5130 and 54, that added together give a square (5184 = 72²).

The spelling of 513054 in words is "five hundred thirteen thousand, fifty-four".