75513 has 4 divisors (see below), whose sum is σ = 100688. Its totient is φ = 50340.

The previous prime is 75511. The next prime is 75521. The reversal of 75513 is 31557.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 75513 - 2¹ = 75511 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 75513.

It is not an unprimeable number, because it can be changed into a prime (75511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12583 + ... + 12588.

It is an arithmetic number, because the mean of its divisors is an integer number (25172).

2⁷⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

75513 is a deficient number, since it is larger than the sum of its proper divisors (25175).

75513 is a wasteful number, since it uses less digits than its factorization.

75513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25174.

The product of its digits is 525, while the sum is 21.

The square root of 75513 is about 274.7962881845. The cubic root of 75513 is about 42.2675661932.

Subtracting from 75513 its reverse (31557), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 75513 in words is "seventy-five thousand, five hundred thirteen".