270513 has 16 divisors (see below), whose sum is σ = 411840. Its totient is φ = 175392.

The previous prime is 270509. The next prime is 270527. The reversal of 270513 is 315072.

It is not a de Polignac number, because 270513 - 2² = 270509 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (270553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

2²⁷⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

270513 is a deficient number, since it is larger than the sum of its proper divisors (141327).

270513 is a wasteful number, since it uses less digits than its factorization.

270513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 270513 is about 520.1086424969. The cubic root of 270513 is about 64.6739490624.

Adding to 270513 its reverse (315072), we get a palindrome (585585).

The spelling of 270513 in words is "two hundred seventy thousand, five hundred thirteen".