1313454564 has 72 divisors (see below), whose sum is σ = 3417818040. Its totient is φ = 424991232.

The previous prime is 1313454563. The next prime is 1313454581. The reversal of 1313454564 is 4654543131.

1313454564 is a `hidden beast` number, since 13 + 1 + 34 + 54 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 207360000 + 1106094564 = 14400^2 + 33258^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1313454563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757042 + ... + 758774.

It is an arithmetic number, because the mean of its divisors is an integer number (47469695).

Almost surely, 2^1313454564 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 1313454564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708909020).

1313454564 is an abundant number, since it is smaller than the sum of its proper divisors (2104363476).

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

1313454564 is a wasteful number, since it uses less digits than its factorization.

1313454564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2344 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 1313454564 is about 36241.6137057941. The cubic root of 1313454564 is about 1095.1451512092.

Adding to 1313454564 its reverse (4654543131), we get a palindrome (5967997695).

The spelling of 1313454564 in words is "one billion, three hundred thirteen million, four hundred fifty-four thousand, five hundred sixty-four".