2556101 has 2 divisors, whose sum is σ = 2556102. Its totient is φ = 2556100.

The previous prime is 2556091. The next prime is 2556107. The reversal of 2556101 is 1016552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1288225 + 1267876 = 1135^2 + 1126^2 .

It is a cyclic number.

It is not a de Polignac number, because 2556101 - 2¹⁸ = 2293957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2556107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1278050 + 1278051.

It is an arithmetic number, because the mean of its divisors is an integer number (1278051).

2^2556101 is an apocalyptic number.

It is an amenable number.

2556101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2556101 is an equidigital number, since it uses as much as digits as its factorization.

2556101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 2556101 is about 1598.7810982120. The cubic root of 2556101 is about 136.7285904852.

The spelling of 2556101 in words is "two million, five hundred fifty-six thousand, one hundred one".