505532376064 has 99 divisors (see below), whose sum is σ = 1074335195953. Its totient is φ = 237715570688.

The previous prime is 505532376023. The next prime is 505532376103. The reversal of 505532376064 is 460673235505.

The square root of 505532376064 is 711008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 393580569600 + 111951806464 = 627360^2 + 334592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 386787699 + ... + 386789005.

Almost surely, 2^505532376064 is an apocalyptic number.

505532376064 is the 711008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505532376064

505532376064 is an abundant number, since it is smaller than the sum of its proper divisors (568802819889).

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

505532376064 is an frugal number, since it uses more digits than its factorization.

505532376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 46.

The spelling of 505532376064 in words is "five hundred five billion, five hundred thirty-two million, three hundred seventy-six thousand, sixty-four".