1257866753 has 12 divisors (see below), whose sum is σ = 1488970644. Its totient is φ = 1055551200.

The previous prime is 1257866741. The next prime is 1257866761. The reversal of 1257866753 is 3576687521.

It can be written as a sum of positive squares in 2 ways, for example, as 283989904 + 973876849 = 16852^2 + 31207^2 .

It is not a de Polignac number, because 1257866753 - 2⁸ = 1257866497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1257866053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398258 + ... + 401403.

It is an arithmetic number, because the mean of its divisors is an integer number (124080887).

Almost surely, 2^1257866753 is an apocalyptic number.

1257866753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1257866753 is a deficient number, since it is larger than the sum of its proper divisors (231103891).

1257866753 is a wasteful number, since it uses less digits than its factorization.

1257866753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799696 (or 799685 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 50.

The square root of 1257866753 is about 35466.4172563286. The cubic root of 1257866753 is about 1079.4724083457.

The spelling of 1257866753 in words is "one billion, two hundred fifty-seven million, eight hundred sixty-six thousand, seven hundred fifty-three".