3937581266101 has 12 divisors (see below), whose sum is σ = 4580484193740. Its totient is φ = 3375045696960.

The previous prime is 3937581266077. The next prime is 3937581266107. The reversal of 3937581266101 is 1016621857393.

3937581266101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2608693371025 + 1328887895076 = 1615145^2 + 1152774^2 .

It is not a de Polignac number, because 3937581266101 - 2⁷ = 3937581265973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3937581266107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12268411 + ... + 12585271.

It is an arithmetic number, because the mean of its divisors is an integer number (381707016145).

Almost surely, 2^{3937581266101} is an apocalyptic number.

It is an amenable number.

3937581266101 is a deficient number, since it is larger than the sum of its proper divisors (642902927639).

3937581266101 is a wasteful number, since it uses less digits than its factorization.

3937581266101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570484 (or 570477 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 3937581266101 in words is "three trillion, nine hundred thirty-seven billion, five hundred eighty-one million, two hundred sixty-six thousand, one hundred one".