6735652131 has 64 divisors (see below), whose sum is σ = 10160640000. Its totient is φ = 3941015040.

The previous prime is 6735652123. The next prime is 6735652141. The reversal of 6735652131 is 1312565376.

6735652131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6735652131 - 2³ = 6735652123 is a prime.

It is a super-2 number, since 2×6735652131² = 90738019259689682322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6735652131.

It is not an unprimeable number, because it can be changed into a prime (6735652141) 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 63 ways as a sum of consecutive naturals, for example, 25039465 + ... + 25039733.

It is an arithmetic number, because the mean of its divisors is an integer number (158760000).

Almost surely, 2^6735652131 is an apocalyptic number.

6735652131 is a deficient number, since it is larger than the sum of its proper divisors (3424987869).

6735652131 is a wasteful number, since it uses less digits than its factorization.

6735652131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604.

The product of its digits is 113400, while the sum is 39.

The square root of 6735652131 is about 82071.0188251614. The cubic root of 6735652131 is about 1888.5415744224.

The spelling of 6735652131 in words is "six billion, seven hundred thirty-five million, six hundred fifty-two thousand, one hundred thirty-one".