517472064 has 140 divisors (see below), whose sum is σ = 1545489924. Its totient is φ = 171196416.

The previous prime is 517471979. The next prime is 517472071. The reversal of 517472064 is 460274715.

It can be written as a sum of positive squares in 2 ways, for example, as 498182400 + 19289664 = 22320^2 + 4392^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 896544 + ... + 897120.

Almost surely, 2^517472064 is an apocalyptic number.

517472064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772744962).

517472064 is an abundant number, since it is smaller than the sum of its proper divisors (1028017860).

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

517472064 is a wasteful number, since it uses less digits than its factorization.

517472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 517472064 is about 22748.0123087711. The cubic root of 517472064 is about 802.8399398309.

The spelling of 517472064 in words is "five hundred seventeen million, four hundred seventy-two thousand, sixty-four".