3835751681313 has 48 divisors (see below), whose sum is σ = 5792439444480. Its totient is φ = 2441330017632.

The previous prime is 3835751681287. The next prime is 3835751681351. The reversal of 3835751681313 is 3131861575383.

It is a happy number.

3835751681313 is a `hidden beast` number, since 3 + 8 + 3 + 575 + 1 + 68 + 1 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 3835751681313 - 2⁸ = 3835751681057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3835751681313.

It is not an unprimeable number, because it can be changed into a prime (3835751682313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275807506 + ... + 275821412.

It is an arithmetic number, because the mean of its divisors is an integer number (120675821760).

Almost surely, 2^{3835751681313} is an apocalyptic number.

It is an amenable number.

3835751681313 is a deficient number, since it is larger than the sum of its proper divisors (1956687763167).

3835751681313 is a wasteful number, since it uses less digits than its factorization.

3835751681313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16378 (or 16375 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 3835751681313 in words is "three trillion, eight hundred thirty-five billion, seven hundred fifty-one million, six hundred eighty-one thousand, three hundred thirteen".