10540523502991 has 2 divisors, whose sum is σ = 10540523502992. Its totient is φ = 10540523502990.

The previous prime is 10540523502953. The next prime is 10540523503007. The reversal of 10540523502991 is 19920532504501.

It is a strong prime.

It is an emirp because it is prime and its reverse (19920532504501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10540523502991 - 2⁷ = 10540523502863 is a prime.

It is a super-2 number, since 2×10540523502991² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10540523502911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5270261751495 + 5270261751496.

It is an arithmetic number, because the mean of its divisors is an integer number (5270261751496).

Almost surely, 2^{10540523502991} is an apocalyptic number.

10540523502991 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540523502991 is an equidigital number, since it uses as much as digits as its factorization.

10540523502991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486000, while the sum is 46.

The spelling of 10540523502991 in words is "ten trillion, five hundred forty billion, five hundred twenty-three million, five hundred two thousand, nine hundred ninety-one".