1253903245056 has 2160 divisors, whose sum is σ = 5052532531200. Its totient is φ = 308477030400.

The previous prime is 1253903245043. The next prime is 1253903245117. The reversal of 1253903245056 is 6505423093521.

1253903245056 is a `hidden beast` number, since 1 + 2 + 53 + 90 + 3 + 2 + 4 + 505 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 26678792425 + ... + 26678792471.

Almost surely, 2^{1253903245056} is an apocalyptic number.

1253903245056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253903245056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526266265600).

1253903245056 is an abundant number, since it is smaller than the sum of its proper divisors (3798629286144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1253903245056 is an equidigital number, since it uses as much as digits as its factorization.

1253903245056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 1253903245056 in words is "one trillion, two hundred fifty-three billion, nine hundred three million, two hundred forty-five thousand, fifty-six".