2005676255961 has 81 divisors (see below), whose sum is σ = 3580885833759. Its totient is φ = 1078411114368.

The previous prime is 2005676255951. The next prime is 2005676255963. The reversal of 2005676255961 is 1695526765002.

The square root of 2005676255961 is 1416219.

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

2005676255961 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 6 + 7 + 625 + 5 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1561512656025 + 444163599936 = 1249605^2 + 666456^2 .

It is not a de Polignac number, because 2005676255961 - 2³⁹ = 1455920442073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005676255898 and 2005676255907.

It is not an unprimeable number, because it can be changed into a prime (2005676255963) 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, 505588200 + ... + 505592166.

Almost surely, 2^{2005676255961} is an apocalyptic number.

2005676255961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2005676255961 is the 1416219-th square number.

2005676255961 is the 708110-th centered octagonal number.

It is an amenable number.

2005676255961 is a deficient number, since it is larger than the sum of its proper divisors (1575209577798).

2005676255961 is an frugal number, since it uses more digits than its factorization.

2005676255961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7988 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 2005676255961 in words is "two trillion, five billion, six hundred seventy-six million, two hundred fifty-five thousand, nine hundred sixty-one".