3973018600541 has 2 divisors, whose sum is σ = 3973018600542. Its totient is φ = 3973018600540.

The previous prime is 3973018600511. The next prime is 3973018600559. The reversal of 3973018600541 is 1450068103793.

It is a happy number.

3973018600541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2491330776025 + 1481687824516 = 1578395^2 + 1217246^2 .

It is a cyclic number.

It is not a de Polignac number, because 3973018600541 - 2¹⁸ = 3973018338397 is a prime.

It is a super-2 number, since 2×3973018600541² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3973018600511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1986509300270 + 1986509300271.

It is an arithmetic number, because the mean of its divisors is an integer number (1986509300271).

Almost surely, 2^{3973018600541} is an apocalyptic number.

It is an amenable number.

3973018600541 is a deficient number, since it is larger than the sum of its proper divisors (1).

3973018600541 is an equidigital number, since it uses as much as digits as its factorization.

3973018600541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 3973018600541 in words is "three trillion, nine hundred seventy-three billion, eighteen million, six hundred thousand, five hundred forty-one".