1253863262624 has 216 divisors, whose sum is σ = 3081019969440. Its totient is φ = 499448581632.

The previous prime is 1253863262609. The next prime is 1253863262627. The reversal of 1253863262624 is 4262623683521.

It is not an unprimeable number, because it can be changed into a prime (1253863262627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83678237 + ... + 83693219.

It is an arithmetic number, because the mean of its divisors is an integer number (14263981340).

Almost surely, 2^{1253863262624} is an apocalyptic number.

1253863262624 is a gapful number since it is divisible by the number (14) 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 1253863262624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540509984720).

1253863262624 is an abundant number, since it is smaller than the sum of its proper divisors (1827156706816).

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

1253863262624 is a wasteful number, since it uses less digits than its factorization.

1253863262624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15132 (or 15064 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 50.

The spelling of 1253863262624 in words is "one trillion, two hundred fifty-three billion, eight hundred sixty-three million, two hundred sixty-two thousand, six hundred twenty-four".