513088 has 14 divisors (see below), whose sum is σ = 1018286. Its totient is φ = 256512.

The previous prime is 513083. The next prime is 513101. The reversal of 513088 is 880315.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 61504 = 672^2 + 248^2 .

It is not an unprimeable number, because it can be changed into a prime (513083) by changing a digit.

513088 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 as a sum of consecutive naturals, namely, 3945 + ... + 4072.

2⁵¹³⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

513088 is a deficient number, since it is larger than the sum of its proper divisors (505198).

513088 is an equidigital number, since it uses as much as digits as its factorization.

513088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8029 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 513088 is about 716.3016124511. The cubic root of 513088 is about 80.0566265751.

The spelling of 513088 in words is "five hundred thirteen thousand, eighty-eight".