40513 has 8 divisors (see below), whose sum is σ = 46080. Its totient is φ = 35280.

The previous prime is 40507. The next prime is 40519. The reversal of 40513 is 31504.

It is an interprime number because it is at equal distance from previous prime (40507) and next prime (40519).

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 40513 - 2¹³ = 32321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40493 and 40502.

It is not an unprimeable number, because it can be changed into a prime (40519) 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 7 ways as a sum of consecutive naturals, for example, 256 + ... + 382.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁴⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

40513 is a deficient number, since it is larger than the sum of its proper divisors (5567).

40513 is a wasteful number, since it uses less digits than its factorization.

40513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 40513 is about 201.2784141432. The cubic root of 40513 is about 34.3451012749.

Subtracting from 40513 its reverse (31504), we obtain a palindrome (9009).

The spelling of 40513 in words is "forty thousand, five hundred thirteen".