10126041563 has 32 divisors (see below), whose sum is σ = 11768137920. Its totient is φ = 8624448000.

The previous prime is 10126041553. The next prime is 10126041581. The reversal of 10126041563 is 36514062101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10126041563 - 2⁸ = 10126041307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10126041503) 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 in 31 ways as a sum of consecutive naturals, for example, 5440253 + ... + 5442113.

It is an arithmetic number, because the mean of its divisors is an integer number (367754310).

Almost surely, 2^10126041563 is an apocalyptic number.

10126041563 is a deficient number, since it is larger than the sum of its proper divisors (1642096357).

10126041563 is a wasteful number, since it uses less digits than its factorization.

10126041563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 10126041563 in words is "ten billion, one hundred twenty-six million, forty-one thousand, five hundred sixty-three".