10540523503007 has 2 divisors, whose sum is σ = 10540523503008. Its totient is φ = 10540523503006.

The previous prime is 10540523502991. The next prime is 10540523503009. The reversal of 10540523503007 is 70030532504501.

10540523503007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10540523503007 - 2⁴ = 10540523502991 is a prime.

It is a super-2 number, since 2×10540523503007² (a number of 27 digits) contains 22 as substring.

Together with 10540523503009, 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 (10540523503009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5270261751503 + 5270261751504.

It is an arithmetic number, because the mean of its divisors is an integer number (5270261751504).

Almost surely, 2^{10540523503007} is an apocalyptic number.

10540523503007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540523503007 is an equidigital number, since it uses as much as digits as its factorization.

10540523503007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63000, while the sum is 35.

The spelling of 10540523503007 in words is "ten trillion, five hundred forty billion, five hundred twenty-three million, five hundred three thousand, seven".