2077627561 has 9 divisors (see below), whose sum is σ = 2193645981. Its totient is φ = 1967458284.

The previous prime is 2077627553. The next prime is 2077627571. The reversal of 2077627561 is 1657267702.

The square root of 2077627561 is 45581.

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

It is not a de Polignac number, because 2077627561 - 2³ = 2077627553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2077627571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 864840 + ... + 867238.

Almost surely, 2^2077627561 is an apocalyptic number.

2077627561 is the 45581-st square number.

2077627561 is the 22791-st centered octagonal number.

It is an amenable number.

2077627561 is a deficient number, since it is larger than the sum of its proper divisors (116018420).

2077627561 is an frugal number, since it uses more digits than its factorization.

2077627561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The cubic root of 2077627561 is about 1276.0153513498.

The spelling of 2077627561 in words is "two billion, seventy-seven million, six hundred twenty-seven thousand, five hundred sixty-one".