127431248563 has 16 divisors (see below), whose sum is σ = 132640267680. Its totient is φ = 122326246656.

The previous prime is 127431248557. The next prime is 127431248597. The reversal of 127431248563 is 365842134721.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127431248563 is a prime.

It is a super-2 number, since 2×127431248563² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127431248533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749133 + ... + 903361.

It is an arithmetic number, because the mean of its divisors is an integer number (8290016730).

Almost surely, 2^127431248563 is an apocalyptic number.

127431248563 is a deficient number, since it is larger than the sum of its proper divisors (5209019117).

127431248563 is a wasteful number, since it uses less digits than its factorization.

127431248563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154566.

The product of its digits is 967680, while the sum is 46.

The spelling of 127431248563 in words is "one hundred twenty-seven billion, four hundred thirty-one million, two hundred forty-eight thousand, five hundred sixty-three".