1253188452681 has 27 divisors (see below), whose sum is σ = 1989739861837. Its totient is φ = 759485763960.

The previous prime is 1253188452661. The next prime is 1253188452683. The reversal of 1253188452681 is 1862548813521.

The square root of 1253188452681 is 1119459.

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

1253188452681 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 188 + 452 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 1253188452681 - 2⁷ = 1253188452553 is a prime.

It is a super-2 number, since 2×1253188452681² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1253188452683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36925186 + ... + 36959108.

Almost surely, 2^{1253188452681} is an apocalyptic number.

1253188452681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1253188452681 is the 1119459-th square number.

1253188452681 is the 559730-th centered octagonal number.

It is an amenable number.

1253188452681 is a deficient number, since it is larger than the sum of its proper divisors (736551409156).

1253188452681 is an frugal number, since it uses more digits than its factorization.

1253188452681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67874 (or 33937 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 1253188452681 in words is "one trillion, two hundred fifty-three billion, one hundred eighty-eight million, four hundred fifty-two thousand, six hundred eighty-one".