1253784782250 has 1536 divisors, whose sum is σ = 4862963589120. Its totient is φ = 224446464000.

The previous prime is 1253784782191. The next prime is 1253784782273. The reversal of 1253784782250 is 522874873521.

1253784782250 is a `hidden beast` number, since 1 + 2 + 5 + 378 + 47 + 8 + 225 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3551798074 + ... + 3551798426.

It is an arithmetic number, because the mean of its divisors is an integer number (3165991920).

Almost surely, 2^{1253784782250} is an apocalyptic number.

1253784782250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253784782250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431481794560).

1253784782250 is an abundant number, since it is smaller than the sum of its proper divisors (3609178806870).

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

1253784782250 is a wasteful number, since it uses less digits than its factorization.

1253784782250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 1253784782250 in words is "one trillion, two hundred fifty-three billion, seven hundred eighty-four million, seven hundred eighty-two thousand, two hundred fifty".