2561627 has 2 divisors, whose sum is σ = 2561628. Its totient is φ = 2561626.

The previous prime is 2561593. The next prime is 2561633. The reversal of 2561627 is 7261652.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2561627 - 2¹⁰ = 2560603 is a prime.

It is equal to p₁₈₇₂₄₇ and since 2561627 and 187247 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2561627.

It is not a weakly prime, because it can be changed into another prime (2561227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280813 + 1280814.

It is an arithmetic number, because the mean of its divisors is an integer number (1280814).

2^2561627 is an apocalyptic number.

2561627 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561627 is an equidigital number, since it uses as much as digits as its factorization.

2561627 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5040, while the sum is 29.

The square root of 2561627 is about 1600.5083567417. The cubic root of 2561627 is about 136.8270501267.

The spelling of 2561627 in words is "two million, five hundred sixty-one thousand, six hundred twenty-seven".