513161 has 6 divisors (see below), whose sum is σ = 564186. Its totient is φ = 466400.

The previous prime is 513157. The next prime is 513167. The reversal of 513161 is 161315.

It can be written as a sum of positive squares in only one way, i.e., 511225 + 1936 = 715^2 + 44^2 .

It is not a de Polignac number, because 513161 - 2² = 513157 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513161.

It is not an unprimeable number, because it can be changed into a prime (513167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2000 + ... + 2241.

It is an arithmetic number, because the mean of its divisors is an integer number (94031).

2⁵¹³¹⁶¹ is an apocalyptic number.

It is an amenable number.

513161 is a deficient number, since it is larger than the sum of its proper divisors (51025).

513161 is a wasteful number, since it uses less digits than its factorization.

513161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4252 counting only the distinct ones).

The product of its digits is 90, while the sum is 17.

The square root of 513161 is about 716.3525668273. The cubic root of 513161 is about 80.0604231016.

Adding to 513161 its reverse (161315), we get a palindrome (674476).

The spelling of 513161 in words is "five hundred thirteen thousand, one hundred sixty-one".