2541301111001 has 2 divisors, whose sum is σ = 2541301111002. Its totient is φ = 2541301111000.

The previous prime is 2541301110979. The next prime is 2541301111003. The reversal of 2541301111001 is 1001111031452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2469766259401 + 71534851600 = 1571549^2 + 267460^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541301111001 - 2²⁶ = 2541234002137 is a prime.

It is a super-2 number, since 2×2541301111001² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 2541301111003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2541301111003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270650555500 + 1270650555501.

It is an arithmetic number, because the mean of its divisors is an integer number (1270650555501).

Almost surely, 2^{2541301111001} is an apocalyptic number.

It is an amenable number.

2541301111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541301111001 is an equidigital number, since it uses as much as digits as its factorization.

2541301111001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 2541301111001 its reverse (1001111031452), we get a palindrome (3542412142453).

The spelling of 2541301111001 in words is "two trillion, five hundred forty-one billion, three hundred one million, one hundred eleven thousand, one".