63305398947961 has 9 divisors (see below), whose sum is σ = 65563856666893. Its totient is φ = 61122231375520.

The previous prime is 63305398947881. The next prime is 63305398948007. The reversal of 63305398947961 is 16974989350336.

The square root of 63305398947961 is 7956469.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21564237600361 + 41741161347600 = 4643731^2 + 6460740^2 .

It is not a de Polignac number, because 63305398947961 - 2¹⁷ = 63305398816889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63305398447961) 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, 230600421 + ... + 230874781.

Almost surely, 2^{63305398947961} is an apocalyptic number.

63305398947961 is the 7956469-th square number.

63305398947961 is the 3978235-th centered octagonal number.

It is an amenable number.

63305398947961 is a deficient number, since it is larger than the sum of its proper divisors (2258457718932).

63305398947961 is an frugal number, since it uses more digits than its factorization.

63305398947961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548780 (or 274390 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 73.

The spelling of 63305398947961 in words is "sixty-three trillion, three hundred five billion, three hundred ninety-eight million, nine hundred forty-seven thousand, nine hundred sixty-one".