1253663522496 has 1008 divisors, whose sum is σ = 4862713070592. Its totient is φ = 299807539200.

The previous prime is 1253663522471. The next prime is 1253663522509. The reversal of 1253663522496 is 6942253663521.

1253663522496 is a `hidden beast` number, since 1 + 2 + 5 + 366 + 35 + 2 + 249 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 602432176 + ... + 602434256.

Almost surely, 2^{1253663522496} is an apocalyptic number.

1253663522496 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 1253663522496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431356535296).

1253663522496 is an abundant number, since it is smaller than the sum of its proper divisors (3609049548096).

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

1253663522496 is a wasteful number, since it uses less digits than its factorization.

1253663522496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2168 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 1253663522496 in words is "one trillion, two hundred fifty-three billion, six hundred sixty-three million, five hundred twenty-two thousand, four hundred ninety-six".