513601 has 4 divisors (see below), whose sum is σ = 560304. Its totient is φ = 466900.

The previous prime is 513593. The next prime is 513631. The reversal of 513601 is 106315.

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 513601 - 2³ = 513593 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513631) 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, 23335 + ... + 23356.

It is an arithmetic number, because the mean of its divisors is an integer number (140076).

2⁵¹³⁶⁰¹ is an apocalyptic number.

513601 is the 321-st centered decagonal number.

It is an amenable number.

513601 is a deficient number, since it is larger than the sum of its proper divisors (46703).

513601 is a wasteful number, since it uses less digits than its factorization.

513601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46702.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 513601 is about 716.6596123684. The cubic root of 513601 is about 80.0832986532.

Adding to 513601 its reverse (106315), we get a palindrome (619916).

The spelling of 513601 in words is "five hundred thirteen thousand, six hundred one".