1253374289764 has 27 divisors (see below), whose sum is σ = 2200587322297. Its totient is φ = 624641741648.

The previous prime is 1253374289759. The next prime is 1253374289831. The reversal of 1253374289764 is 4679824733521.

The square root of 1253374289764 is 1119542.

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., 295872899364 + 957501390400 = 543942^2 + 978520^2 .

It is a super-2 number, since 2×1253374289764² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 871002957 + ... + 871004395.

Almost surely, 2^{1253374289764} is an apocalyptic number.

1253374289764 is the 1119542-nd square number.

It is an amenable number.

1253374289764 is a deficient number, since it is larger than the sum of its proper divisors (947213032533).

1253374289764 is an frugal number, since it uses more digits than its factorization.

1253374289764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 1830 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 61.

The spelling of 1253374289764 in words is "one trillion, two hundred fifty-three billion, three hundred seventy-four million, two hundred eighty-nine thousand, seven hundred sixty-four".