517949064 has 96 divisors (see below), whose sum is σ = 1521669240. Its totient is φ = 158515200.

The previous prime is 517949027. The next prime is 517949087. The reversal of 517949064 is 460949715.

It can be written as a sum of positive squares in 4 ways, for example, as 400400100 + 117548964 = 20010^2 + 10842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45024 + ... + 55344.

Almost surely, 2^517949064 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 517949064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760834620).

517949064 is an abundant number, since it is smaller than the sum of its proper divisors (1003720176).

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

517949064 is a wasteful number, since it uses less digits than its factorization.

517949064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10391 (or 10384 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 517949064 is about 22758.4943262950. The cubic root of 517949064 is about 803.0865470524.

The spelling of 517949064 in words is "five hundred seventeen million, nine hundred forty-nine thousand, sixty-four".