127652909241 has 48 divisors (see below), whose sum is σ = 201708404352. Its totient is φ = 71331363840.

The previous prime is 127652909213. The next prime is 127652909281. The reversal of 127652909241 is 142909256721.

It is a happy number.

It is not a de Polignac number, because 127652909241 - 2²⁷ = 127518691513 is a prime.

It is a super-3 number, since 3×127652909241³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (127652909281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4170505 + ... + 4201001.

It is an arithmetic number, because the mean of its divisors is an integer number (4202258424).

Almost surely, 2^127652909241 is an apocalyptic number.

127652909241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127652909241 is a deficient number, since it is larger than the sum of its proper divisors (74055495111).

127652909241 is a wasteful number, since it uses less digits than its factorization.

127652909241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31422 (or 31411 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 127652909241 in words is "one hundred twenty-seven billion, six hundred fifty-two million, nine hundred nine thousand, two hundred forty-one".