516401 has 4 divisors (see below), whose sum is σ = 543600. Its totient is φ = 489204.

The previous prime is 516391. The next prime is 516407. The reversal of 516401 is 104615.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 516401 - 2¹⁰ = 515377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 516401.

It is not an unprimeable number, because it can be changed into a prime (516407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13571 + ... + 13608.

It is an arithmetic number, because the mean of its divisors is an integer number (135900).

2⁵¹⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

516401 is a deficient number, since it is larger than the sum of its proper divisors (27199).

516401 is a wasteful number, since it uses less digits than its factorization.

516401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27198.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 516401 is about 718.6104647165. The cubic root of 516401 is about 80.2285651030.

The spelling of 516401 in words is "five hundred sixteen thousand, four hundred one".