1637640415141 has 2 divisors, whose sum is σ = 1637640415142. Its totient is φ = 1637640415140.

The previous prime is 1637640415139. The next prime is 1637640415153. The reversal of 1637640415141 is 1415140467361.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1328131782916 + 309508632225 = 1152446^2 + 556335^2 .

It is a cyclic number.

It is not a de Polignac number, because 1637640415141 - 2¹ = 1637640415139 is a prime.

It is a super-2 number, since 2×1637640415141² (a number of 25 digits) contains 22 as substring.

Together with 1637640415139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1637640416141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 818820207570 + 818820207571.

It is an arithmetic number, because the mean of its divisors is an integer number (818820207571).

Almost surely, 2^{1637640415141} is an apocalyptic number.

It is an amenable number.

1637640415141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1637640415141 is an equidigital number, since it uses as much as digits as its factorization.

1637640415141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 1637640415141 in words is "one trillion, six hundred thirty-seven billion, six hundred forty million, four hundred fifteen thousand, one hundred forty-one".