513401 has 8 divisors (see below), whose sum is σ = 595584. Its totient is φ = 433440.

The previous prime is 513397. The next prime is 513407. The reversal of 513401 is 104315.

Added to its reverse (104315) it gives a triangular number (617716 = T₁₁₁₁).

513401 = T₈₃ + T₈₄ + ... + T₁₅₃.

513401 is nontrivially palindromic in base 8.

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

It is not a de Polignac number, because 513401 - 2² = 513397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (74448).

2⁵¹³⁴⁰¹ is an apocalyptic number.

It is an amenable number.

513401 is a deficient number, since it is larger than the sum of its proper divisors (82183).

513401 is a wasteful number, since it uses less digits than its factorization.

513401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 513401 is about 716.5200625244. The cubic root of 513401 is about 80.0729022955.

Adding to 513401 its reverse (104315), we get a palindrome (617716).

The spelling of 513401 in words is "five hundred thirteen thousand, four hundred one".