1263551040 has 84 divisors (see below), whose sum is σ = 4346099004. Its totient is φ = 336946176.

The previous prime is 1263551033. The next prime is 1263551101. The reversal of 1263551040 is 401553621.

1263551040 is a `hidden beast` number, since 12 + 63 + 551 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 723825216 + 539725824 = 26904^2 + 23232^2 .

It is a super-2 number, since 2×1263551040² = 3193122461370163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1263550995 and 1263551013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216487 + ... + 222246.

Almost surely, 2^1263551040 is an apocalyptic number.

1263551040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1263551040 is an abundant number, since it is smaller than the sum of its proper divisors (3082547964).

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

1263551040 is a wasteful number, since it uses less digits than its factorization.

1263551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438756 (or 438743 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1263551040 is about 35546.4631151961. The cubic root of 1263551040 is about 1081.0960067147.

The spelling of 1263551040 in words is "one billion, two hundred sixty-three million, five hundred fifty-one thousand, forty".