127601445958561 has 9 divisors (see below), whose sum is σ = 129801516839281. Its totient is φ = 125438054413684.

The previous prime is 127601445958541. The next prime is 127601445958577. The reversal of 127601445958561 is 165859544106721.

The square root of 127601445958561 is 11296081.

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

It is not a de Polignac number, because 127601445958561 - 2⁵ = 127601445958529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127601445958493 and 127601445958502.

It is not an unprimeable number, because it can be changed into a prime (127601445958541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 666373050 + ... + 666564508.

Almost surely, 2^{127601445958561} is an apocalyptic number.

127601445958561 is the 11296081-st square number.

127601445958561 is the 5648041-st centered octagonal number.

It is an amenable number.

127601445958561 is a deficient number, since it is larger than the sum of its proper divisors (2200070880720).

127601445958561 is an frugal number, since it uses more digits than its factorization.

127601445958561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383036 (or 191518 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 64.

The spelling of 127601445958561 in words is "one hundred twenty-seven trillion, six hundred one billion, four hundred forty-five million, nine hundred fifty-eight thousand, five hundred sixty-one".