657013 has 8 divisors (see below), whose sum is σ = 767232. Its totient is φ = 550896.

The previous prime is 656993. The next prime is 657017. The reversal of 657013 is 310756.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-657013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657017) 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, 670 + ... + 1327.

It is an arithmetic number, because the mean of its divisors is an integer number (95904).

2⁶⁵⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

657013 is a deficient number, since it is larger than the sum of its proper divisors (110219).

657013 is a wasteful number, since it uses less digits than its factorization.

657013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 657013 is about 810.5633843198. The cubic root of 657013 is about 86.9343319141.

Adding to 657013 its reverse (310756), we get a palindrome (967769).

The spelling of 657013 in words is "six hundred fifty-seven thousand, thirteen".