365013 has 16 divisors (see below), whose sum is σ = 590400. Its totient is φ = 221040.

The previous prime is 365003. The next prime is 365017. The reversal of 365013 is 310563.

365013 is a `hidden beast` number, since 3 + 650 + 13 = 666.

365013 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 365013 - 2⁴ = 364997 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365013.

It is not an unprimeable number, because it can be changed into a prime (365017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (36900).

2³⁶⁵⁰¹³ is an apocalyptic number.

365013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

365013 is a deficient number, since it is larger than the sum of its proper divisors (225387).

365013 is a wasteful number, since it uses less digits than its factorization.

365013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 365013 is about 604.1630574605. The cubic root of 365013 is about 71.4665434293.

Adding to 365013 its reverse (310563), we get a palindrome (675576).

It can be divided in two parts, 3650 and 13, that added together give a palindrome (3663).

The spelling of 365013 in words is "three hundred sixty-five thousand, thirteen".