10151408541 has 32 divisors (see below), whose sum is σ = 14131877760. Its totient is φ = 6476073984.

The previous prime is 10151408537. The next prime is 10151408563. The reversal of 10151408541 is 14580415101.

10151408541 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 10151408541 - 2² = 10151408537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10151408499 and 10151408508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151404541) 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 31 ways as a sum of consecutive naturals, for example, 2144265 + ... + 2148993.

It is an arithmetic number, because the mean of its divisors is an integer number (441621180).

Almost surely, 2^10151408541 is an apocalyptic number.

It is an amenable number.

10151408541 is a deficient number, since it is larger than the sum of its proper divisors (3980469219).

10151408541 is a wasteful number, since it uses less digits than its factorization.

10151408541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085.

The product of its (nonzero) digits is 3200, while the sum is 30.

The spelling of 10151408541 in words is "ten billion, one hundred fifty-one million, four hundred eight thousand, five hundred forty-one".