1325753856 has 240 divisors, whose sum is σ = 4565493504. Its totient is φ = 362115072.

The previous prime is 1325753851. The next prime is 1325753887. The reversal of 1325753856 is 6583575231.

1325753856 is a `hidden beast` number, since 13 + 2 + 57 + 538 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325753851) 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, 740995 + ... + 742781.

Almost surely, 2^1325753856 is an apocalyptic number.

1325753856 is a gapful number since it is divisible by the number (16) 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 1325753856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282746752).

1325753856 is an abundant number, since it is smaller than the sum of its proper divisors (3239739648).

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

1325753856 is a wasteful number, since it uses less digits than its factorization.

1325753856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1822 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 1325753856 is about 36410.9029824859. The cubic root of 1325753856 is about 1098.5528783192.

The spelling of 1325753856 in words is "one billion, three hundred twenty-five million, seven hundred fifty-three thousand, eight hundred fifty-six".