1253116309788 has 144 divisors (see below), whose sum is σ = 3634172365824. Its totient is φ = 356644321920.

The previous prime is 1253116309787. The next prime is 1253116309789. The reversal of 1253116309788 is 8879036113521.

1253116309788 is a `hidden beast` number, since 1 + 2 + 531 + 1 + 6 + 30 + 9 + 78 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1253116309787) and next prime (1253116309789).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253116309787) by changing a digit.

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, 154491853 + ... + 154499963.

It is an arithmetic number, because the mean of its divisors is an integer number (25237308096).

Almost surely, 2^{1253116309788} is an apocalyptic number.

1253116309788 is a gapful number since it is divisible by the number (18) 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 1253116309788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817086182912).

1253116309788 is an abundant number, since it is smaller than the sum of its proper divisors (2381056056036).

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

1253116309788 is a wasteful number, since it uses less digits than its factorization.

1253116309788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1253116309788 in words is "one trillion, two hundred fifty-three billion, one hundred sixteen million, three hundred nine thousand, seven hundred eighty-eight".