2256526001 has 2 divisors, whose sum is σ = 2256526002. Its totient is φ = 2256526000.

The previous prime is 2256525983. The next prime is 2256526003. The reversal of 2256526001 is 1006256522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1383914401 + 872611600 = 37201^2 + 29540^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256526001 - 2¹⁸ = 2256263857 is a prime.

It is a Sophie Germain prime.

Together with 2256526003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2256526003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1128263000 + 1128263001.

It is an arithmetic number, because the mean of its divisors is an integer number (1128263001).

Almost surely, 2^2256526001 is an apocalyptic number.

It is an amenable number.

2256526001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256526001 is an equidigital number, since it uses as much as digits as its factorization.

2256526001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2256526001 is about 47502.9051848411. The cubic root of 2256526001 is about 1311.6363602270.

The spelling of 2256526001 in words is "two billion, two hundred fifty-six million, five hundred twenty-six thousand, one".