1313253504 has 192 divisors, whose sum is σ = 3903134040. Its totient is φ = 423641088.

The previous prime is 1313253503. The next prime is 1313253509. The reversal of 1313253504 is 4053523131.

1313253504 is a `hidden beast` number, since 131 + 3 + 25 + 3 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1166359104 + 146894400 = 34152^2 + 12120^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1313253503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8364594 + ... + 8364750.

Almost surely, 2^1313253504 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 1313253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951567020).

1313253504 is an abundant number, since it is smaller than the sum of its proper divisors (2589880536).

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

1313253504 is a wasteful number, since it uses less digits than its factorization.

1313253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1313253504 is about 36238.8397165251. The cubic root of 1313253504 is about 1095.0892677584.

Adding to 1313253504 its reverse (4053523131), we get a palindrome (5366776635).

The spelling of 1313253504 in words is "one billion, three hundred thirteen million, two hundred fifty-three thousand, five hundred four".