1257307001 has 2 divisors, whose sum is σ = 1257307002. Its totient is φ = 1257307000.

The previous prime is 1257306949. The next prime is 1257307003. The reversal of 1257307001 is 1007037521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1083989776 + 173317225 = 32924^2 + 13165^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1257307001 is a prime.

It is a super-2 number, since 2×1257307001² = 3161641789527228002, which contains 22 as substring.

Together with 1257307003, 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 (1257307003) 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, 628653500 + 628653501.

It is an arithmetic number, because the mean of its divisors is an integer number (628653501).

Almost surely, 2^1257307001 is an apocalyptic number.

It is an amenable number.

1257307001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257307001 is an equidigital number, since it uses as much as digits as its factorization.

1257307001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 1257307001 is about 35458.5250821294. The cubic root of 1257307001 is about 1079.3122624773.

The spelling of 1257307001 in words is "one billion, two hundred fifty-seven million, three hundred seven thousand, one".