513270 has 32 divisors (see below), whose sum is σ = 1369440. Its totient is φ = 136800.

The previous prime is 513269. The next prime is 513277. The reversal of 513270 is 72315.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513277) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 681 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (42795).

2⁵¹³²⁷⁰ is an apocalyptic number.

513270 is an abundant number, since it is smaller than the sum of its proper divisors (856170).

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

513270 is a wasteful number, since it uses less digits than its factorization.

513270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1911 counting only the distinct ones).

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

The square root of 513270 is about 716.4286426435. The cubic root of 513270 is about 80.0660912177.

Adding to 513270 its reverse (72315), we get a palindrome (585585).

It can be divided in two parts, 51 and 3270, that added together give a triangular number (3321 = T₈₁).

The spelling of 513270 in words is "five hundred thirteen thousand, two hundred seventy".