127462566361 has 27 divisors (see below), whose sum is σ = 143096181501. Its totient is φ = 113480631264.

The previous prime is 127462566317. The next prime is 127462566367. The reversal of 127462566361 is 163665264721.

The square root of 127462566361 is 357019.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16344344025 + 111118222336 = 127845^2 + 333344^2 .

It is not a de Polignac number, because 127462566361 - 2⁷ = 127462566233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127462566367) 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, 134595690 + ... + 134596636.

Almost surely, 2^127462566361 is an apocalyptic number.

127462566361 is the 357019-th square number.

127462566361 is the 178510-th centered octagonal number.

It is an amenable number.

127462566361 is a deficient number, since it is larger than the sum of its proper divisors (15633615140).

127462566361 is an frugal number, since it uses more digits than its factorization.

127462566361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 989 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

Multiplying 127462566361 by its sum of digits (49), we get a square (6245665751689 = 2499133²).

The spelling of 127462566361 in words is "one hundred twenty-seven billion, four hundred sixty-two million, five hundred sixty-six thousand, three hundred sixty-one".