1263751320 has 256 divisors, whose sum is σ = 4219568640. Its totient is φ = 300883968.

The previous prime is 1263751303. The next prime is 1263751327. The reversal of 1263751320 is 231573621.

1263751320 = T₂₅₄ + T₂₅₅ + ... + T₁₉₆₅.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263751327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11183584 + ... + 11183696.

It is an arithmetic number, because the mean of its divisors is an integer number (16482690).

Almost surely, 2^1263751320 is an apocalyptic number.

1263751320 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 1263751320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109784320).

1263751320 is an abundant number, since it is smaller than the sum of its proper divisors (2955817320).

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

1263751320 is a wasteful number, since it uses less digits than its factorization.

1263751320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 1263751320 is about 35549.2801614885. The cubic root of 1263751320 is about 1081.1531236447.

The spelling of 1263751320 in words is "one billion, two hundred sixty-three million, seven hundred fifty-one thousand, three hundred twenty".