2131727413537 has 2 divisors, whose sum is σ = 2131727413538. Its totient is φ = 2131727413536.

The previous prime is 2131727413531. The next prime is 2131727413649. The reversal of 2131727413537 is 7353147271312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1992272967441 + 139454446096 = 1411479^2 + 373436^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131727413537 - 2¹⁹ = 2131726889249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2131727413531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065863706768 + 1065863706769.

It is an arithmetic number, because the mean of its divisors is an integer number (1065863706769).

Almost surely, 2^{2131727413537} is an apocalyptic number.

It is an amenable number.

2131727413537 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131727413537 is an equidigital number, since it uses as much as digits as its factorization.

2131727413537 is an evil number, because the sum of its binary digits is even.

The product of its digits is 740880, while the sum is 46.

The spelling of 2131727413537 in words is "two trillion, one hundred thirty-one billion, seven hundred twenty-seven million, four hundred thirteen thousand, five hundred thirty-seven".