1257365270329 has 27 divisors (see below), whose sum is σ = 1543865721381. Its totient is φ = 1020897312120.

The previous prime is 1257365270309. The next prime is 1257365270347. The reversal of 1257365270329 is 9230725637521.

The square root of 1257365270329 is 1121323.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1257365270329 - 2¹⁹ = 1257364746041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1257365270309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149131744 + ... + 149140174.

It is an arithmetic number, because the mean of its divisors is an integer number (57180211903).

Almost surely, 2^{1257365270329} is an apocalyptic number.

1257365270329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1257365270329 is the 1121323-rd square number.

1257365270329 is the 560662-nd centered octagonal number.

It is an amenable number.

1257365270329 is a deficient number, since it is larger than the sum of its proper divisors (286500451052).

1257365270329 is an frugal number, since it uses more digits than its factorization.

1257365270329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16914 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 52.

The spelling of 1257365270329 in words is "one trillion, two hundred fifty-seven billion, three hundred sixty-five million, two hundred seventy thousand, three hundred twenty-nine".