1027457201 has 2 divisors, whose sum is σ = 1027457202. Its totient is φ = 1027457200.

The previous prime is 1027457147. The next prime is 1027457213. The reversal of 1027457201 is 1027547201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 909082801 + 118374400 = 30151^2 + 10880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1027457201 is a prime.

It is not a weakly prime, because it can be changed into another prime (1027453201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 513728600 + 513728601.

It is an arithmetic number, because the mean of its divisors is an integer number (513728601).

Almost surely, 2^1027457201 is an apocalyptic number.

It is an amenable number.

1027457201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1027457201 is an equidigital number, since it uses as much as digits as its factorization.

1027457201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 1027457201 is about 32053.9732482574. The cubic root of 1027457201 is about 1009.0698887464.

Subtracting 1027457201 from its reverse (1027547201), we obtain a square (90000 = 300²).

The spelling of 1027457201 in words is "one billion, twenty-seven million, four hundred fifty-seven thousand, two hundred one".