10513827071 has 16 divisors (see below), whose sum is σ = 11546388000. Its totient is φ = 9494275200.

The previous prime is 10513827067. The next prime is 10513827097. The reversal of 10513827071 is 17072831501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10513827071 - 2² = 10513827067 is a prime.

It is a super-2 number, since 2×10513827071² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513827271) 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 15 ways as a sum of consecutive naturals, for example, 1027601 + ... + 1037781.

It is an arithmetic number, because the mean of its divisors is an integer number (721649250).

Almost surely, 2^10513827071 is an apocalyptic number.

10513827071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10513827071 is a deficient number, since it is larger than the sum of its proper divisors (1032560929).

10513827071 is a wasteful number, since it uses less digits than its factorization.

10513827071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10810.

The product of its (nonzero) digits is 11760, while the sum is 35.

The spelling of 10513827071 in words is "ten billion, five hundred thirteen million, eight hundred twenty-seven thousand, seventy-one".