513901 has 4 divisors (see below), whose sum is σ = 517500. Its totient is φ = 510304.

The previous prime is 513899. The next prime is 513917. The reversal of 513901 is 109315.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 109315 = 5 ⋅21863.

It can be written as a sum of positive squares in 2 ways, for example, as 22500 + 491401 = 150^2 + 701^2 .

It is a cyclic number.

It is not a de Polignac number, because 513901 - 2¹ = 513899 is a prime.

It is an Ulam number.

It is a Duffinian number.

513901 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513991) 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, 1576 + ... + 1873.

It is an arithmetic number, because the mean of its divisors is an integer number (129375).

2⁵¹³⁹⁰¹ is an apocalyptic number.

It is an amenable number.

513901 is a deficient number, since it is larger than the sum of its proper divisors (3599).

513901 is a wasteful number, since it uses less digits than its factorization.

513901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 513901 is about 716.8688861989. The cubic root of 513901 is about 80.0988881305.

The spelling of 513901 in words is "five hundred thirteen thousand, nine hundred one".