2564101 has 2 divisors, whose sum is σ = 2564102. Its totient is φ = 2564100.

The previous prime is 2564077. The next prime is 2564117. The reversal of 2564101 is 1014652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2563201 + 900 = 1601^2 + 30^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2564101 is a prime.

It is a super-2 number, since 2×2564101² = 13149227876402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282050 + 1282051.

It is an arithmetic number, because the mean of its divisors is an integer number (1282051).

2^2564101 is an apocalyptic number.

2564101 is the 925-th hex number.

It is an amenable number.

2564101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564101 is an equidigital number, since it uses as much as digits as its factorization.

2564101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2564101 is about 1601.2810496599. The cubic root of 2564101 is about 136.8710847973.

Adding to 2564101 its reverse (1014652), we get a palindrome (3578753).

The spelling of 2564101 in words is "two million, five hundred sixty-four thousand, one hundred one".