1253143674721 has 9 divisors (see below), whose sum is σ = 1256599916883. Its totient is φ = 1249696922040.

The previous prime is 1253143674703. The next prime is 1253143674767. The reversal of 1253143674721 is 1274763413521.

The square root of 1253143674721 is 1119439.

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

It can be written as a sum of positive squares in only one way, i.e., 5946106321 + 1247197568400 = 77111^2 + 1116780^2 .

It is not a de Polignac number, because 1253143674721 - 2¹¹ = 1253143672673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1253143674701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 471282490 + ... + 471285148.

It is an arithmetic number, because the mean of its divisors is an integer number (139622212987).

Almost surely, 2^{1253143674721} is an apocalyptic number.

1253143674721 is the 1119439-th square number.

1253143674721 is the 559720-th centered octagonal number.

It is an amenable number.

1253143674721 is a deficient number, since it is larger than the sum of its proper divisors (3456242162).

1253143674721 is an frugal number, since it uses more digits than its factorization.

1253143674721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160 (or 3080 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The spelling of 1253143674721 in words is "one trillion, two hundred fifty-three billion, one hundred forty-three million, six hundred seventy-four thousand, seven hundred twenty-one".