513785 has 8 divisors (see below), whose sum is σ = 620736. Its totient is φ = 408240.

The previous prime is 513781. The next prime is 513829. The reversal of 513785 is 587315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 513785 - 2² = 513781 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 812 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (77592).

2⁵¹³⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

513785 is a deficient number, since it is larger than the sum of its proper divisors (106951).

513785 is a wasteful number, since it uses less digits than its factorization.

513785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703.

The product of its digits is 4200, while the sum is 29.

The square root of 513785 is about 716.7879742295. The cubic root of 513785 is about 80.0928609189.

It can be divided in two parts, 5137 and 85, that multiplied together give a triangular number (436645 = T₉₃₄).

The spelling of 513785 in words is "five hundred thirteen thousand, seven hundred eighty-five".