519061664 has 48 divisors (see below), whose sum is σ = 1121099616. Its totient is φ = 234604800.

The previous prime is 519061661. The next prime is 519061687. The reversal of 519061664 is 466160915.

It is a super-2 number, since 2×519061664² = 538850022068897792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (519061661) 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 7 ways as a sum of consecutive naturals, for example, 59639 + ... + 67785.

It is an arithmetic number, because the mean of its divisors is an integer number (23356242).

Almost surely, 2^519061664 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 519061664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560549808).

519061664 is an abundant number, since it is smaller than the sum of its proper divisors (602037952).

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

519061664 is a wasteful number, since it uses less digits than its factorization.

519061664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349 (or 8341 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 519061664 is about 22782.9248341823. The cubic root of 519061664 is about 803.6611692399.

The spelling of 519061664 in words is "five hundred nineteen million, sixty-one thousand, six hundred sixty-four".