513480 has 64 divisors (see below), whose sum is σ = 1684800. Its totient is φ = 124160.

The previous prime is 513479. The next prime is 513481. The reversal of 513480 is 84315.

513480 = T₆₁ + T₆₂ + ... + T₁₄₈.

It is an interprime number because it is at equal distance from previous prime (513479) and next prime (513481).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126 + ... + 1514.

It is an arithmetic number, because the mean of its divisors is an integer number (26325).

2⁵¹³⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842400).

513480 is an abundant number, since it is smaller than the sum of its proper divisors (1171320).

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

513480 is a wasteful number, since it uses less digits than its factorization.

513480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 513480 is about 716.5751879601. The cubic root of 513480 is about 80.0770091794.

Adding to 513480 its reverse (84315), we get a palindrome (597795).

The spelling of 513480 in words is "five hundred thirteen thousand, four hundred eighty".