3135216049 has 27 divisors (see below), whose sum is σ = 3858307371. Its totient is φ = 2539842480.

The previous prime is 3135215999. The next prime is 3135216059. The reversal of 3135216049 is 9406125313.

The square root of 3135216049 is 55993.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14876449 + 3120339600 = 3857^2 + 55860^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3135216049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3135216059) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7446859 + ... + 7447279.

It is an arithmetic number, because the mean of its divisors is an integer number (142900273).

Almost surely, 2^3135216049 is an apocalyptic number.

3135216049 is the 55993-rd square number.

3135216049 is the 27997-th centered octagonal number.

It is an amenable number.

3135216049 is a deficient number, since it is larger than the sum of its proper divisors (723091322).

3135216049 is an frugal number, since it uses more digits than its factorization.

3135216049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The cubic root of 3135216049 is about 1463.6003046109.

The spelling of 3135216049 in words is "three billion, one hundred thirty-five million, two hundred sixteen thousand, forty-nine".