513961 has 12 divisors (see below), whose sum is σ = 634068. Its totient is φ = 413952.

The previous prime is 513943. The next prime is 513977. The reversal of 513961 is 169315.

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 337561 = 420^2 + 581^2 .

It is a de Polignac number, because none of the positive numbers 2^k-513961 is a prime.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525 + ... + 1141.

It is an arithmetic number, because the mean of its divisors is an integer number (52839).

2⁵¹³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

513961 is a deficient number, since it is larger than the sum of its proper divisors (120107).

513961 is a wasteful number, since it uses less digits than its factorization.

513961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 641 counting only the distinct ones).

The product of its digits is 810, while the sum is 25.

The square root of 513961 is about 716.9107336343. The cubic root of 513961 is about 80.1020052979.

The spelling of 513961 in words is "five hundred thirteen thousand, nine hundred sixty-one".