3141006624261 has 48 divisors (see below), whose sum is σ = 5378026567680. Its totient is φ = 1745272980000.

The previous prime is 3141006624251. The next prime is 3141006624271. The reversal of 3141006624261 is 1624266001413.

3141006624261 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 0 + 0 + 6 + 624 + 26 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (3141006624251) and next prime (3141006624271).

It is not a de Polignac number, because 3141006624261 - 2¹⁵ = 3141006591493 is a prime.

It is a super-2 number, since 2×3141006624261² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141006624251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26874915 + ... + 26991536.

It is an arithmetic number, because the mean of its divisors is an integer number (112042220160).

Almost surely, 2^{3141006624261} is an apocalyptic number.

3141006624261 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3141006624261 is a deficient number, since it is larger than the sum of its proper divisors (2237019943419).

3141006624261 is a wasteful number, since it uses less digits than its factorization.

3141006624261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53866518 (or 53866515 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3141006624261 in words is "three trillion, one hundred forty-one billion, six million, six hundred twenty-four thousand, two hundred sixty-one".