1253826060753 has 32 divisors (see below), whose sum is σ = 1976193902592. Its totient is φ = 692210678400.

The previous prime is 1253826060691. The next prime is 1253826060769. The reversal of 1253826060753 is 3570606283521.

It is a happy number.

It is not a de Polignac number, because 1253826060753 - 2¹⁶ = 1253825995217 is a prime.

It is a super-3 number, since 3×1253826060753³ (a number of 37 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1253826060953) 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 31 ways as a sum of consecutive naturals, for example, 6980463 + ... + 7157828.

It is an arithmetic number, because the mean of its divisors is an integer number (61756059456).

Almost surely, 2^{1253826060753} is an apocalyptic number.

It is an amenable number.

1253826060753 is a deficient number, since it is larger than the sum of its proper divisors (722367841839).

1253826060753 is a wasteful number, since it uses less digits than its factorization.

1253826060753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14138445.

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 1253826060753 in words is "one trillion, two hundred fifty-three billion, eight hundred twenty-six million, sixty thousand, seven hundred fifty-three".