127582508846381 has 2 divisors, whose sum is σ = 127582508846382. Its totient is φ = 127582508846380.

The previous prime is 127582508846357. The next prime is 127582508846383. The reversal of 127582508846381 is 183648805285721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127408423801156 + 174085045225 = 11287534^2 + 417235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127582508846381 is a prime.

It is a super-2 number, since 2×127582508846381² (a number of 29 digits) contains 22 as substring.

Together with 127582508846383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127582508846383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63791254423190 + 63791254423191.

It is an arithmetic number, because the mean of its divisors is an integer number (63791254423191).

Almost surely, 2^{127582508846381} is an apocalyptic number.

It is an amenable number.

127582508846381 is a deficient number, since it is larger than the sum of its proper divisors (1).

127582508846381 is an equidigital number, since it uses as much as digits as its factorization.

127582508846381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 206438400, while the sum is 68.

The spelling of 127582508846381 in words is "one hundred twenty-seven trillion, five hundred eighty-two billion, five hundred eight million, eight hundred forty-six thousand, three hundred eighty-one".