10513914642 has 64 divisors (see below), whose sum is σ = 29129472000. Its totient is φ = 2730885840.

The previous prime is 10513914611. The next prime is 10513914661. The reversal of 10513914642 is 24641931501.

It is a happy number.

10513914642 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 9 + 1 + 4 + 642 = 666.

10513914642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10513914642² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10513914597 and 10513914606.

It is an unprimeable number.

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, 1260142 + ... + 1268457.

It is an arithmetic number, because the mean of its divisors is an integer number (455148000).

Almost surely, 2^10513914642 is an apocalyptic number.

10513914642 is an abundant number, since it is smaller than the sum of its proper divisors (18615557358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10513914642 is a wasteful number, since it uses less digits than its factorization.

10513914642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528628 (or 2528622 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10513914642 in words is "ten billion, five hundred thirteen million, nine hundred fourteen thousand, six hundred forty-two".