1257349853 has 2 divisors, whose sum is σ = 1257349854. Its totient is φ = 1257349852.

The previous prime is 1257349823. The next prime is 1257349861. The reversal of 1257349853 is 3589437521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1257269764 + 80089 = 35458^2 + 283^2 .

It is a cyclic number.

It is not a de Polignac number, because 1257349853 - 2⁶ = 1257349789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1257349798 and 1257349807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1257349823) 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, 628674926 + 628674927.

It is an arithmetic number, because the mean of its divisors is an integer number (628674927).

Almost surely, 2^1257349853 is an apocalyptic number.

It is an amenable number.

1257349853 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257349853 is an equidigital number, since it uses as much as digits as its factorization.

1257349853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 907200, while the sum is 47.

The square root of 1257349853 is about 35459.1293322326. The cubic root of 1257349853 is about 1079.3245241773.

It can be divided in two parts, 12573 and 49853, that added together give a palindrome (62426).

The spelling of 1257349853 in words is "one billion, two hundred fifty-seven million, three hundred forty-nine thousand, eight hundred fifty-three".