513109 has 2 divisors, whose sum is σ = 513110. Its totient is φ = 513108.

The previous prime is 513103. The next prime is 513131. The reversal of 513109 is 901315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260100 + 253009 = 510^2 + 503^2 .

It is a cyclic number.

It is not a de Polignac number, because 513109 - 2³ = 513101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256554 + 256555.

It is an arithmetic number, because the mean of its divisors is an integer number (256555).

2⁵¹³¹⁰⁹ is an apocalyptic number.

It is an amenable number.

513109 is a deficient number, since it is larger than the sum of its proper divisors (1).

513109 is an equidigital number, since it uses as much as digits as its factorization.

513109 is an odious number, because the sum of its binary digits is odd.

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

The square root of 513109 is about 716.3162709307. The cubic root of 513109 is about 80.0577187635.

It can be divided in two parts, 51 and 3109, that added together give a triangular number (3160 = T₇₉).

The spelling of 513109 in words is "five hundred thirteen thousand, one hundred nine".