1257830753 has 2 divisors, whose sum is σ = 1257830754. Its totient is φ = 1257830752.

The previous prime is 1257830699. The next prime is 1257830789. The reversal of 1257830753 is 3570387521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 967707664 + 290123089 = 31108^2 + 17033^2 .

It is a cyclic number.

It is not a de Polignac number, because 1257830753 - 2²⁴ = 1241053537 is a prime.

It is a super-3 number, since 3×1257830753³ (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1257830753.

It is not a weakly prime, because it can be changed into another prime (1257838753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628915376 + 628915377.

It is an arithmetic number, because the mean of its divisors is an integer number (628915377).

Almost surely, 2^1257830753 is an apocalyptic number.

It is an amenable number.

1257830753 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257830753 is an equidigital number, since it uses as much as digits as its factorization.

1257830753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 1257830753 is about 35465.9097303312. The cubic root of 1257830753 is about 1079.4621101226.

The spelling of 1257830753 in words is "one billion, two hundred fifty-seven million, eight hundred thirty thousand, seven hundred fifty-three".