1263056004 has 360 divisors, whose sum is σ = 4193747712. Its totient is φ = 324311040.

The previous prime is 1263055999. The next prime is 1263056059. The reversal of 1263056004 is 4006503621.

1263056004 is a `hidden beast` number, since 1 + 26 + 30 + 5 + 600 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26873509 + ... + 26873555.

Almost surely, 2^1263056004 is an apocalyptic number.

1263056004 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 1263056004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096873856).

1263056004 is an abundant number, since it is smaller than the sum of its proper divisors (2930691708).

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

1263056004 is a wasteful number, since it uses less digits than its factorization.

1263056004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1263056004 is about 35539.4992086270. The cubic root of 1263056004 is about 1080.9548037788.

Adding to 1263056004 its reverse (4006503621), we get a palindrome (5269559625).

The spelling of 1263056004 in words is "one billion, two hundred sixty-three million, fifty-six thousand, four".