10513124541 has 24 divisors (see below), whose sum is σ = 15835126944. Its totient is φ = 6969998160.

The previous prime is 10513124521. The next prime is 10513124551. The reversal of 10513124541 is 14542131501.

10513124541 is a `hidden beast` number, since 105 + 1 + 3 + 12 + 4 + 541 = 666.

10513124541 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 10513124541 - 2⁶ = 10513124477 is a prime.

It is a super-2 number, since 2×10513124541² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513124521) 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 23 ways as a sum of consecutive naturals, for example, 75531 + ... + 163496.

It is an arithmetic number, because the mean of its divisors is an integer number (659796956).

Almost surely, 2^10513124541 is an apocalyptic number.

It is an amenable number.

10513124541 is a deficient number, since it is larger than the sum of its proper divisors (5322002403).

10513124541 is an equidigital number, since it uses as much as digits as its factorization.

10513124541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239223 (or 239211 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10513124541 in words is "ten billion, five hundred thirteen million, one hundred twenty-four thousand, five hundred forty-one".