71513 has 4 divisors (see below), whose sum is σ = 77028. Its totient is φ = 66000.

The previous prime is 71503. The next prime is 71527. The reversal of 71513 is 31517.

71513 is nontrivially palindromic in base 14.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 44944 + 26569 = 212^2 + 163^2 .

It is a cyclic number.

It is not a de Polignac number, because 71513 - 2⁸ = 71257 is a prime.

It is a super-2 number, since 2×71513² = 10228218338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71491 and 71500.

It is not an unprimeable number, because it can be changed into a prime (71503) 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, 2738 + ... + 2763.

It is an arithmetic number, because the mean of its divisors is an integer number (19257).

2⁷¹⁵¹³ is an apocalyptic number.

It is an amenable number.

71513 is a deficient number, since it is larger than the sum of its proper divisors (5515).

71513 is a wasteful number, since it uses less digits than its factorization.

71513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514.

The product of its digits is 105, while the sum is 17.

The square root of 71513 is about 267.4191466593. The cubic root of 71513 is about 41.5076678143.

The spelling of 71513 in words is "seventy-one thousand, five hundred thirteen".