2006560073961 has 81 divisors (see below), whose sum is σ = 3025032770487. Its totient is φ = 1281677248800.

The previous prime is 2006560073939. The next prime is 2006560073971. The reversal of 2006560073961 is 1693700656002.

The square root of 2006560073961 is 1416531.

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

2006560073961 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 5 + 600 + 7 + 39 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1446523371225 + 560036702736 = 1202715^2 + 748356^2 .

It is not a de Polignac number, because 2006560073961 - 2¹¹ = 2006560071913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2006560073971) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13288477236 + ... + 13288477386.

Almost surely, 2^{2006560073961} is an apocalyptic number.

2006560073961 is the 1416531-st square number.

2006560073961 is the 708266-th centered octagonal number.

It is an amenable number.

2006560073961 is a deficient number, since it is larger than the sum of its proper divisors (1018472696526).

2006560073961 is an frugal number, since it uses more digits than its factorization.

2006560073961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2006560073961 in words is "two trillion, six billion, five hundred sixty million, seventy-three thousand, nine hundred sixty-one".