1263133872 has 640 divisors, whose sum is σ = 5119672320. Its totient is φ = 287400960.

The previous prime is 1263133871. The next prime is 1263133919. The reversal of 1263133872 is 2783313621.

1263133872 is a `hidden beast` number, since 1 + 263 + 13 + 387 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1263133871) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9945873 + ... + 9945999.

It is an arithmetic number, because the mean of its divisors is an integer number (7999488).

Almost surely, 2^1263133872 is an apocalyptic number.

1263133872 is a gapful number since it is divisible by the number (12) 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 1263133872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559836160).

1263133872 is an abundant number, since it is smaller than the sum of its proper divisors (3856538448).

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

1263133872 is a wasteful number, since it uses less digits than its factorization.

1263133872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 1263133872 is about 35540.5947052100. The cubic root of 1263133872 is about 1080.9770171139.

The spelling of 1263133872 in words is "one billion, two hundred sixty-three million, one hundred thirty-three thousand, eight hundred seventy-two".