10513531933 has 8 divisors (see below), whose sum is σ = 10661369400. Its totient is φ = 10366725120.

The previous prime is 10513531891. The next prime is 10513531979. The reversal of 10513531933 is 33913531501.

10513531933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1339340409 + 9174191524 = 36597^2 + 95782^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10513531933 is a prime.

It is a super-2 number, since 2×10513531933² (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 (10513531033) 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 7 ways as a sum of consecutive naturals, for example, 237108 + ... + 277933.

It is an arithmetic number, because the mean of its divisors is an integer number (1332671175).

Almost surely, 2^10513531933 is an apocalyptic number.

It is an amenable number.

10513531933 is a deficient number, since it is larger than the sum of its proper divisors (147837467).

10513531933 is a wasteful number, since it uses less digits than its factorization.

10513531933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515327.

The product of its (nonzero) digits is 18225, while the sum is 34.

The spelling of 10513531933 in words is "ten billion, five hundred thirteen million, five hundred thirty-one thousand, nine hundred thirty-three".