10041506251 has 48 divisors (see below), whose sum is σ = 12500127360. Its totient is φ = 8019648000.

The previous prime is 10041506227. The next prime is 10041506281. The reversal of 10041506251 is 15260514001.

It is a happy number.

10041506251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10041506251 - 2⁵ = 10041506219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10041506201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22666836 + ... + 22667278.

It is an arithmetic number, because the mean of its divisors is an integer number (260419320).

Almost surely, 2^10041506251 is an apocalyptic number.

10041506251 is a deficient number, since it is larger than the sum of its proper divisors (2458621109).

10041506251 is a wasteful number, since it uses less digits than its factorization.

10041506251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 10041506251 in words is "ten billion, forty-one million, five hundred six thousand, two hundred fifty-one".