127236527526889 has 27 divisors (see below), whose sum is σ = 140588629673079. Its totient is φ = 115065982120320.

The previous prime is 127236527526881. The next prime is 127236527526917. The reversal of 127236527526889 is 988625725632721.

The square root of 127236527526889 is 11279917.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80352489242025 + 46884038284864 = 8963955^2 + 6847192^2 .

It is not a de Polignac number, because 127236527526889 - 2³ = 127236527526881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127236527526881) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24691735737 + ... + 24691740889.

Almost surely, 2^{127236527526889} is an apocalyptic number.

127236527526889 is the 11279917-th square number.

127236527526889 is the 5639959-th centered octagonal number.

It is an amenable number.

127236527526889 is a deficient number, since it is larger than the sum of its proper divisors (13352102146190).

127236527526889 is an frugal number, since it uses more digits than its factorization.

127236527526889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10726 (or 5363 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 73.

The spelling of 127236527526889 in words is "one hundred twenty-seven trillion, two hundred thirty-six billion, five hundred twenty-seven million, five hundred twenty-six thousand, eight hundred eighty-nine".