1513 has 4 divisors (see below), whose sum is σ = 1620. Its totient is φ = 1408.

The previous prime is 1511. The next prime is 1523. The reversal of 1513 is 3151.

1513 = 27² + 28².

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 3151 = 23 ⋅137.

It can be written as a sum of positive squares in 2 ways, for example, as 729 + 784 = 27^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 1513 - 2¹ = 1511 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11 and base 15.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28 + ... + 61.

It is an arithmetic number, because the mean of its divisors is an integer number (405).

1513 is the 28-th centered square number.

It is an amenable number.

1513 is a deficient number, since it is larger than the sum of its proper divisors (107).

1513 is an equidigital number, since it uses as much as digits as its factorization.

1513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its digits is 15, while the sum is 10.

The square root of 1513 is about 38.8973006776. The cubic root of 1513 is about 11.4801168713.

Adding to 1513 its reverse (3151), we get a palindrome (4664).

It can be divided in two parts, 15 and 13, that added together give a triangular number (28 = T₇).

The spelling of 1513 in words is "one thousand, five hundred thirteen".