678513 has 16 divisors (see below), whose sum is σ = 1022400. Its totient is φ = 396480.

The previous prime is 678499. The next prime is 678533. The reversal of 678513 is 315876.

678513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 678513 - 2⁵ = 678481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (678533) 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, 603 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (63900).

2⁶⁷⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

678513 is a deficient number, since it is larger than the sum of its proper divisors (343887).

678513 is a wasteful number, since it uses less digits than its factorization.

678513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752.

The product of its digits is 5040, while the sum is 30.

The square root of 678513 is about 823.7190054867. The cubic root of 678513 is about 87.8724477836.

Multiplying 678513 by its sum of digits (30), we get a triangular number (20355390 = T₆₃₈₀).

The spelling of 678513 in words is "six hundred seventy-eight thousand, five hundred thirteen".