1307256857 has 2 divisors, whose sum is σ = 1307256858. Its totient is φ = 1307256856.

The previous prime is 1307256827. The next prime is 1307256883. The reversal of 1307256857 is 7586527031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1132726336 + 174530521 = 33656^2 + 13211^2 .

It is a cyclic number.

It is not a de Polignac number, because 1307256857 - 2¹⁸ = 1306994713 is a prime.

It is not a weakly prime, because it can be changed into another prime (1307256827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 653628428 + 653628429.

It is an arithmetic number, because the mean of its divisors is an integer number (653628429).

Almost surely, 2^1307256857 is an apocalyptic number.

It is an amenable number.

1307256857 is a deficient number, since it is larger than the sum of its proper divisors (1).

1307256857 is an equidigital number, since it uses as much as digits as its factorization.

1307256857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 44.

The square root of 1307256857 is about 36156.0072048892. The cubic root of 1307256857 is about 1093.4199062566.

The spelling of 1307256857 in words is "one billion, three hundred seven million, two hundred fifty-six thousand, eight hundred fifty-seven".