648513 has 8 divisors (see below), whose sum is σ = 960800. Its totient is φ = 432324.

The previous prime is 648509. The next prime is 648563. The reversal of 648513 is 315846.

648513 is a `hidden beast` number, since 648 + 5 + 13 = 666.

It is not a de Polignac number, because 648513 - 2² = 648509 is a prime.

It is a super-2 number, since 2×648513² = 841138222338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 24019 = 648513 / (6 + 4 + 8 + 5 + 1 + 3).

It is a Duffinian number.

It is a Curzon number.

648513 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (648563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11983 + ... + 12036.

It is an arithmetic number, because the mean of its divisors is an integer number (120100).

2⁶⁴⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

648513 is a deficient number, since it is larger than the sum of its proper divisors (312287).

648513 is a wasteful number, since it uses less digits than its factorization.

648513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24028 (or 24022 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 648513 is about 805.3030485476. The cubic root of 648513 is about 86.5578038132.

The spelling of 648513 in words is "six hundred forty-eight thousand, five hundred thirteen".