513890 has 32 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 183744.

The previous prime is 513881. The next prime is 513899. The reversal of 513890 is 98315.

It is an interprime number because it is at equal distance from previous prime (513881) and next prime (513899).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (513899) by changing a digit.

513890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7637 + ... + 7703.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

2⁵¹³⁸⁹⁰ is an apocalyptic number.

513890 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513890 is a wasteful number, since it uses less digits than its factorization.

513890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 513890 is about 716.8612139041. The cubic root of 513890 is about 80.0983166235.

The spelling of 513890 in words is "five hundred thirteen thousand, eight hundred ninety".