162513 has 16 divisors (see below), whose sum is σ = 259840. Its totient is φ = 99792.

The previous prime is 162499. The next prime is 162517. The reversal of 162513 is 315261.

It is not a de Polignac number, because 162513 - 2⁸ = 162257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (162517) 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, 120 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (16240).

2¹⁶²⁵¹³ is an apocalyptic number.

162513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

162513 is a deficient number, since it is larger than the sum of its proper divisors (97327).

162513 is a wasteful number, since it uses less digits than its factorization.

162513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 162513 is about 403.1290116079. The cubic root of 162513 is about 54.5710993048.

Adding to 162513 its reverse (315261), we get a palindrome (477774).

The spelling of 162513 in words is "one hundred sixty-two thousand, five hundred thirteen".