505963338721 has 9 divisors (see below), whose sum is σ = 507589617171. Its totient is φ = 504342260952.

The previous prime is 505963338703. The next prime is 505963338773. The reversal of 505963338721 is 127833369505.

The square root of 505963338721 is 711311.

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., 275021580625 + 230941758096 = 524425^2 + 480564^2 .

It is not a de Polignac number, because 505963338721 - 2⁵ = 505963338689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505963338791) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 265318050 + ... + 265319956.

Almost surely, 2^505963338721 is an apocalyptic number.

505963338721 is the 711311-st square number.

505963338721 is the 355656-th centered octagonal number.

It is an amenable number.

505963338721 is a deficient number, since it is larger than the sum of its proper divisors (1626278450).

505963338721 is an frugal number, since it uses more digits than its factorization.

505963338721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 52.

The spelling of 505963338721 in words is "five hundred five billion, nine hundred sixty-three million, three hundred thirty-eight thousand, seven hundred twenty-one".