513407 has 2 divisors, whose sum is σ = 513408. Its totient is φ = 513406.

The previous prime is 513397. The next prime is 513419. The reversal of 513407 is 704315.

It is a happy number.

513407 is nontrivially palindromic in base 14.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 513407 - 2¹⁸ = 251263 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256703 + 256704.

It is an arithmetic number, because the mean of its divisors is an integer number (256704).

2⁵¹³⁴⁰⁷ is an apocalyptic number.

513407 is a deficient number, since it is larger than the sum of its proper divisors (1).

513407 is an equidigital number, since it uses as much as digits as its factorization.

513407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 513407 is about 716.5242494152. The cubic root of 513407 is about 80.0732142255.

The spelling of 513407 in words is "five hundred thirteen thousand, four hundred seven".