45513 has 12 divisors (see below), whose sum is σ = 70980. Its totient is φ = 27936.

The previous prime is 45503. The next prime is 45523. The reversal of 45513 is 31554.

45513 = 17³ + 18³ + ... + 22³.

45513 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45503) and next prime (45523).

It can be written as a sum of positive squares in 2 ways, for example, as 8649 + 36864 = 93^2 + 192^2 .

It is not a de Polignac number, because 45513 - 2⁴ = 45497 is a prime.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (5915).

2⁴⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

45513 is a deficient number, since it is larger than the sum of its proper divisors (25467).

45513 is a wasteful number, since it uses less digits than its factorization.

45513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 405 counting only the distinct ones).

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

The square root of 45513 is about 213.3377603707. The cubic root of 45513 is about 35.7035846035.

It can be divided in two parts, 4551 and 3, that added together give a palindrome (4554).

The spelling of 45513 in words is "forty-five thousand, five hundred thirteen".