305513 has 8 divisors (see below), whose sum is σ = 334656. Its totient is φ = 277200.

The previous prime is 305497. The next prime is 305521. The reversal of 305513 is 315503.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 305513 - 2⁴ = 305497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 305491 and 305500.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305513.

It is not an unprimeable number, because it can be changed into a prime (305533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 758 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (41832).

2³⁰⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

305513 is a deficient number, since it is larger than the sum of its proper divisors (29143).

305513 is a wasteful number, since it uses less digits than its factorization.

305513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 305513 is about 552.7323041039. The cubic root of 305513 is about 67.3508733401.

It can be divided in two parts, 305 and 513, that added together give a palindrome (818).

The spelling of 305513 in words is "three hundred five thousand, five hundred thirteen".