513489060 has 288 divisors, whose sum is σ = 1902700800. Its totient is φ = 109486080.

The previous prime is 513489049. The next prime is 513489061. The reversal of 513489060 is 60984315.

513489060 is a `hidden beast` number, since 513 + 4 + 89 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (513489061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2130540 + ... + 2130780.

It is an arithmetic number, because the mean of its divisors is an integer number (6606600).

Almost surely, 2^513489060 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 513489060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951350400).

513489060 is an abundant number, since it is smaller than the sum of its proper divisors (1389211740).

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

513489060 is a wasteful number, since it uses less digits than its factorization.

513489060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 513489060 is about 22660.2969971711. The cubic root of 513489060 is about 800.7748014445.

The spelling of 513489060 in words is "five hundred thirteen million, four hundred eighty-nine thousand, sixty".