1257516889 has 2 divisors, whose sum is σ = 1257516890. Its totient is φ = 1257516888.

The previous prime is 1257516859. The next prime is 1257516901. The reversal of 1257516889 is 9886157521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 696537664 + 560979225 = 26392^2 + 23685^2 .

It is an emirp because it is prime and its reverse (9886157521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1257516889 - 2⁵ = 1257516857 is a prime.

It is a super-2 number, since 2×1257516889² = 3162697452240476642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1257516839) 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, 628758444 + 628758445.

It is an arithmetic number, because the mean of its divisors is an integer number (628758445).

Almost surely, 2^1257516889 is an apocalyptic number.

It is an amenable number.

1257516889 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257516889 is an equidigital number, since it uses as much as digits as its factorization.

1257516889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1209600, while the sum is 52.

The square root of 1257516889 is about 35461.4845853921. The cubic root of 1257516889 is about 1079.3723173108.

The spelling of 1257516889 in words is "one billion, two hundred fifty-seven million, five hundred sixteen thousand, eight hundred eighty-nine".