1231263504 has 180 divisors, whose sum is σ = 3686477964. Its totient is φ = 398068992.

The previous prime is 1231263499. The next prime is 1231263533. The reversal of 1231263504 is 4053621321.

1231263504 is a `hidden beast` number, since 1 + 23 + 1 + 2 + 635 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 559417104 + 671846400 = 23652^2 + 25920^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 3883954 + ... + 3884270.

Almost surely, 2^1231263504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231263504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843238982).

1231263504 is an abundant number, since it is smaller than the sum of its proper divisors (2455214460).

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

1231263504 is an frugal number, since it uses more digits than its factorization.

1231263504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 359 counting only the distinct ones).

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

The square root of 1231263504 is about 35089.3645425505. The cubic root of 1231263504 is about 1071.8080195677.

Adding to 1231263504 its reverse (4053621321), we get a palindrome (5284884825).

The spelling of 1231263504 in words is "one billion, two hundred thirty-one million, two hundred sixty-three thousand, five hundred four".