252576727001 has 2 divisors, whose sum is σ = 252576727002. Its totient is φ = 252576727000.

The previous prime is 252576726967. The next prime is 252576727003. The reversal of 252576727001 is 100727675252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185223501376 + 67353225625 = 430376^2 + 259525^2 .

It is a cyclic number.

It is not a de Polignac number, because 252576727001 - 2¹⁰ = 252576725977 is a prime.

Together with 252576727003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (252576727003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126288363500 + 126288363501.

It is an arithmetic number, because the mean of its divisors is an integer number (126288363501).

Almost surely, 2^252576727001 is an apocalyptic number.

It is an amenable number.

252576727001 is a deficient number, since it is larger than the sum of its proper divisors (1).

252576727001 is an equidigital number, since it uses as much as digits as its factorization.

252576727001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 411600, while the sum is 44.

The spelling of 252576727001 in words is "two hundred fifty-two billion, five hundred seventy-six million, seven hundred twenty-seven thousand, one".