10545253131 has 16 divisors (see below), whose sum is σ = 16070394368. Its totient is φ = 6025320000.

The previous prime is 10545253123. The next prime is 10545253171. The reversal of 10545253131 is 13135254501.

10545253131 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 10545253131 - 2³ = 10545253123 is a prime.

It is a super-3 number, since 3×10545253131³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (10545253171) 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 15 ways as a sum of consecutive naturals, for example, 429066 + ... + 452976.

It is an arithmetic number, because the mean of its divisors is an integer number (1004399648).

Almost surely, 2^10545253131 is an apocalyptic number.

10545253131 is a deficient number, since it is larger than the sum of its proper divisors (5525141237).

10545253131 is a wasteful number, since it uses less digits than its factorization.

10545253131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44922.

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 10545253131 in words is "ten billion, five hundred forty-five million, two hundred fifty-three thousand, one hundred thirty-one".