8235137313 has 24 divisors (see below), whose sum is σ = 12937065960. Its totient is φ = 5017593600.

The previous prime is 8235137269. The next prime is 8235137329. The reversal of 8235137313 is 3137315328.

It can be written as a sum of positive squares in 4 ways, for example, as 588159504 + 7646977809 = 24252^2 + 87447^2 .

It is not a de Polignac number, because 8235137313 - 2¹⁰ = 8235136289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8235137363) 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 23 ways as a sum of consecutive naturals, for example, 336628 + ... + 360261.

It is an arithmetic number, because the mean of its divisors is an integer number (539044415).

Almost surely, 2^8235137313 is an apocalyptic number.

It is an amenable number.

8235137313 is a deficient number, since it is larger than the sum of its proper divisors (4701928647).

8235137313 is a wasteful number, since it uses less digits than its factorization.

8235137313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697009 (or 697006 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 8235137313 is about 90747.6573416636. The cubic root of 8235137313 is about 2019.4058731260.

The spelling of 8235137313 in words is "eight billion, two hundred thirty-five million, one hundred thirty-seven thousand, three hundred thirteen".