• 513850² = 264041822500 is an anagram of the next square 513851² = 264042850201.

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513850 has 24 divisors (see below), whose sum is σ = 982080. Its totient is φ = 199920.

The previous prime is 513841. The next prime is 513871. The reversal of 513850 is 58315.

It is an unprimeable number.

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, 2031 + ... + 2269.

It is an arithmetic number, because the mean of its divisors is an integer number (40920).

2⁵¹³⁸⁵⁰ is an apocalyptic number.

513850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

513850 is a deficient number, since it is larger than the sum of its proper divisors (468230).

513850 is a wasteful number, since it uses less digits than its factorization.

513850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 513850 is about 716.8333139580. The cubic root of 513850 is about 80.0962383475.

Subtracting from 513850 its reverse (58315), we obtain a triangular number (455535 = T₉₅₄).

The spelling of 513850 in words is "five hundred thirteen thousand, eight hundred fifty".