1325563668 has 216 divisors, whose sum is σ = 4100634720. Its totient is φ = 357477120.

The previous prime is 1325563667. The next prime is 1325563703. The reversal of 1325563668 is 8663655231.

1325563668 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 5 + 636 + 6 + 8 = 666.

It is a super-2 number, since 2×1325563668² = 3514238075843228448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325563663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1940455 + ... + 1941137.

It is an arithmetic number, because the mean of its divisors is an integer number (18984420).

Almost surely, 2^1325563668 is an apocalyptic number.

1325563668 is a gapful number since it is divisible by the number (18) 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 1325563668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050317360).

1325563668 is an abundant number, since it is smaller than the sum of its proper divisors (2775071052).

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

1325563668 is a wasteful number, since it uses less digits than its factorization.

1325563668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 741 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 1325563668 is about 36408.2911985718. The cubic root of 1325563668 is about 1098.5003442922.

It can be divided in two parts, 1325563 and 668, that added together give a palindrome (1326231).

The spelling of 1325563668 in words is "one billion, three hundred twenty-five million, five hundred sixty-three thousand, six hundred sixty-eight".