10126041581 has 2 divisors, whose sum is σ = 10126041582. Its totient is φ = 10126041580.

The previous prime is 10126041553. The next prime is 10126041587. The reversal of 10126041581 is 18514062101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8694630025 + 1431411556 = 93245^2 + 37834^2 .

It is an emirp because it is prime and its reverse (18514062101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10126041581 - 2²⁶ = 10058932717 is a prime.

It is a super-2 number, since 2×10126041581² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10126041587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5063020790 + 5063020791.

It is an arithmetic number, because the mean of its divisors is an integer number (5063020791).

Almost surely, 2^10126041581 is an apocalyptic number.

It is an amenable number.

10126041581 is a deficient number, since it is larger than the sum of its proper divisors (1).

10126041581 is an equidigital number, since it uses as much as digits as its factorization.

10126041581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 29.

The spelling of 10126041581 in words is "ten billion, one hundred twenty-six million, forty-one thousand, five hundred eighty-one".