3138102417961 has 27 divisors (see below), whose sum is σ = 3696169093911. Its totient is φ = 2656523255904.

The previous prime is 3138102417941. The next prime is 3138102417973. The reversal of 3138102417961 is 1697142018313.

The square root of 3138102417961 is 1771469.

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., 338236459561 + 2799865958400 = 581581^2 + 1673280^2 .

It is not a de Polignac number, because 3138102417961 - 2⁷ = 3138102417833 is a prime.

It is a super-2 number, since 2×3138102417961² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3138102417941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1029221965 + ... + 1029225013.

Almost surely, 2^{3138102417961} is an apocalyptic number.

3138102417961 is the 1771469-th square number.

3138102417961 is the 885735-th centered octagonal number.

It is an amenable number.

3138102417961 is a deficient number, since it is larger than the sum of its proper divisors (558066675950).

3138102417961 is an frugal number, since it uses more digits than its factorization.

3138102417961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 3138102417961 in words is "three trillion, one hundred thirty-eight billion, one hundred two million, four hundred seventeen thousand, nine hundred sixty-one".