513945 has 32 divisors (see below), whose sum is σ = 944640. Its totient is φ = 268272.

The previous prime is 513943. The next prime is 513977. The reversal of 513945 is 549315.

It is not a de Polignac number, because 513945 - 2¹ = 513943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

513945 is a lucky number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (513943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10912 + ... + 10958.

It is an arithmetic number, because the mean of its divisors is an integer number (29520).

2⁵¹³⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

513945 is a deficient number, since it is larger than the sum of its proper divisors (430695).

513945 is an frugal number, since it uses more digits than its factorization.

513945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 513945 is about 716.8995745570. The cubic root of 513945 is about 80.1011740770.

It can be divided in two parts, 5139 and 45, that added together give a square (5184 = 72²).

The spelling of 513945 in words is "five hundred thirteen thousand, nine hundred forty-five".