3117135441 has 48 divisors (see below), whose sum is σ = 5083871040. Its totient is φ = 1691464320.

The previous prime is 3117135409. The next prime is 3117135443. The reversal of 3117135441 is 1445317113.

It is not a de Polignac number, because 3117135441 - 2⁵ = 3117135409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3117135399 and 3117135408.

It is not an unprimeable number, because it can be changed into a prime (3117135443) 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, 254050 + ... + 266036.

It is an arithmetic number, because the mean of its divisors is an integer number (105913980).

Almost surely, 2^3117135441 is an apocalyptic number.

It is an amenable number.

3117135441 is a deficient number, since it is larger than the sum of its proper divisors (1966735599).

3117135441 is a wasteful number, since it uses less digits than its factorization.

3117135441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12094 (or 12087 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 3117135441 is about 55831.3123703894. The cubic root of 3117135441 is about 1460.7813796047.

The spelling of 3117135441 in words is "three billion, one hundred seventeen million, one hundred thirty-five thousand, four hundred forty-one".