1253768985 has 48 divisors (see below), whose sum is σ = 2591656704. Its totient is φ = 548228736.

The previous prime is 1253768953. The next prime is 1253769043. The reversal of 1253768985 is 5898673521.

1253768985 is a `hidden beast` number, since 12 + 537 + 6 + 8 + 98 + 5 = 666.

It is not a de Polignac number, because 1253768985 - 2⁵ = 1253768953 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 79282 + ... + 93771.

It is an arithmetic number, because the mean of its divisors is an integer number (53992848).

Almost surely, 2^1253768985 is an apocalyptic number.

1253768985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1253768985 is an abundant number, since it is smaller than the sum of its proper divisors (1337887719).

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

1253768985 is a wasteful number, since it uses less digits than its factorization.

1253768985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173094 (or 173091 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 1253768985 is about 35408.6004383116. The cubic root of 1253768985 is about 1078.2989296203.

The spelling of 1253768985 in words is "one billion, two hundred fifty-three million, seven hundred sixty-eight thousand, nine hundred eighty-five".