2540332213301 has 2 divisors, whose sum is σ = 2540332213302. Its totient is φ = 2540332213300.

The previous prime is 2540332213297. The next prime is 2540332213313. The reversal of 2540332213301 is 1033122330452.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1772623297201 + 767708916100 = 1331399^2 + 876190^2 .

It is a cyclic number.

It is not a de Polignac number, because 2540332213301 - 2² = 2540332213297 is a prime.

It is a super-2 number, since 2×2540332213301² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2540332218301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270166106650 + 1270166106651.

It is an arithmetic number, because the mean of its divisors is an integer number (1270166106651).

Almost surely, 2^{2540332213301} is an apocalyptic number.

It is an amenable number.

2540332213301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2540332213301 is an equidigital number, since it uses as much as digits as its factorization.

2540332213301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 2540332213301 its reverse (1033122330452), we get a palindrome (3573454543753).

The spelling of 2540332213301 in words is "two trillion, five hundred forty billion, three hundred thirty-two million, two hundred thirteen thousand, three hundred one".