1263313800 has 384 divisors, whose sum is σ = 5237760000. Its totient is φ = 273404160.

The previous prime is 1263313739. The next prime is 1263313817. The reversal of 1263313800 is 83133621.

It is a happy number.

1263313800 is a `hidden beast` number, since 12 + 633 + 13 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 717321 + ... + 719079.

It is an arithmetic number, because the mean of its divisors is an integer number (13640000).

Almost surely, 2^1263313800 is an apocalyptic number.

1263313800 is a gapful number since it is divisible by the number (10) 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 1263313800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618880000).

1263313800 is an abundant number, since it is smaller than the sum of its proper divisors (3974446200).

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

1263313800 is a wasteful number, since it uses less digits than its factorization.

1263313800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1263313800 is about 35543.1259176792. The cubic root of 1263313800 is about 1081.0283415229.

The spelling of 1263313800 in words is "one billion, two hundred sixty-three million, three hundred thirteen thousand, eight hundred".