2538101 has 2 divisors, whose sum is σ = 2538102. Its totient is φ = 2538100.

The previous prime is 2538097. The next prime is 2538103. The reversal of 2538101 is 1018352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2146225 + 391876 = 1465^2 + 626^2 .

It is a cyclic number.

It is not a de Polignac number, because 2538101 - 2² = 2538097 is a prime.

Together with 2538103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2538103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1269050 + 1269051.

It is an arithmetic number, because the mean of its divisors is an integer number (1269051).

2^2538101 is an apocalyptic number.

It is an amenable number.

2538101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2538101 is an equidigital number, since it uses as much as digits as its factorization.

2538101 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 20.

The square root of 2538101 is about 1593.1418643674. The cubic root of 2538101 is about 136.4068877078.

The spelling of 2538101 in words is "two million, five hundred thirty-eight thousand, one hundred one".