3137004203281 has 27 divisors (see below), whose sum is σ = 3482793801777. Its totient is φ = 2824219295040.

The previous prime is 3137004203279. The next prime is 3137004203297. The reversal of 3137004203281 is 1823024007313.

The square root of 3137004203281 is 1771159.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2089484705025 + 1047519498256 = 1445505^2 + 1023484^2 .

It is not a de Polignac number, because 3137004203281 - 2¹ = 3137004203279 is a prime.

It is a super-2 number, since 2×3137004203281² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3137004201281) 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, 944026086 + ... + 944029408.

Almost surely, 2^{3137004203281} is an apocalyptic number.

3137004203281 is the 1771159-th square number.

3137004203281 is the 885580-th centered octagonal number.

It is an amenable number.

3137004203281 is a deficient number, since it is larger than the sum of its proper divisors (345789598496).

3137004203281 is an frugal number, since it uses more digits than its factorization.

3137004203281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 3137004203281 in words is "three trillion, one hundred thirty-seven billion, four million, two hundred three thousand, two hundred eighty-one".