2527967876501 has 2 divisors, whose sum is σ = 2527967876502. Its totient is φ = 2527967876500.

The previous prime is 2527967876453. The next prime is 2527967876503. The reversal of 2527967876501 is 1056787697252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2333641195876 + 194326680625 = 1527626^2 + 440825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2527967876501 is a prime.

Together with 2527967876503, 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 (2527967876503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1263983938250 + 1263983938251.

It is an arithmetic number, because the mean of its divisors is an integer number (1263983938251).

Almost surely, 2^{2527967876501} is an apocalyptic number.

It is an amenable number.

2527967876501 is a deficient number, since it is larger than the sum of its proper divisors (1).

2527967876501 is an equidigital number, since it uses as much as digits as its factorization.

2527967876501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 88905600, while the sum is 65.

The spelling of 2527967876501 in words is "two trillion, five hundred twenty-seven billion, nine hundred sixty-seven million, eight hundred seventy-six thousand, five hundred one".