518561064 has 192 divisors, whose sum is σ = 1758931200. Its totient is φ = 134572032.

The previous prime is 518561051. The next prime is 518561107. The reversal of 518561064 is 460165815.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247429 + ... + 249515.

It is an arithmetic number, because the mean of its divisors is an integer number (9161100).

Almost surely, 2^518561064 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 518561064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879465600).

518561064 is an abundant number, since it is smaller than the sum of its proper divisors (1240370136).

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

518561064 is a wasteful number, since it uses less digits than its factorization.

518561064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 518561064 is about 22771.9358860858. The cubic root of 518561064 is about 803.4027271234.

The spelling of 518561064 in words is "five hundred eighteen million, five hundred sixty-one thousand, sixty-four".