127306953601 has 27 divisors (see below), whose sum is σ = 136533660003. Its totient is φ = 118686284640.

The previous prime is 127306953581. The next prime is 127306953607. The reversal of 127306953601 is 106359603721.

The square root of 127306953601 is 356801.

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., 24445635201 + 102861318400 = 156351^2 + 320720^2 .

It is not a de Polignac number, because 127306953601 - 2⁹ = 127306953089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127306953607) 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, 603350386 + ... + 603350596.

Almost surely, 2^127306953601 is an apocalyptic number.

127306953601 is the 356801-st square number.

127306953601 is the 178401-st centered octagonal number.

It is an amenable number.

127306953601 is a deficient number, since it is larger than the sum of its proper divisors (9226706402).

127306953601 is an frugal number, since it uses more digits than its factorization.

127306953601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The spelling of 127306953601 in words is "one hundred twenty-seven billion, three hundred six million, nine hundred fifty-three thousand, six hundred one".