1325363497920 has 2240 divisors, whose sum is σ = 6118082150400. Its totient is φ = 264408883200.

The previous prime is 1325363497891. The next prime is 1325363497921. The reversal of 1325363497920 is 297943635231.

1325363497920 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 3 + 63 + 497 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325363497921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6660117981 + ... + 6660118179.

Almost surely, 2^{1325363497920} is an apocalyptic number.

1325363497920 is a gapful number since it is divisible by the number (10) 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 1325363497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059041075200).

1325363497920 is an abundant number, since it is smaller than the sum of its proper divisors (4792718652480).

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

1325363497920 is a wasteful number, since it uses less digits than its factorization.

1325363497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 1325363497920 in words is "one trillion, three hundred twenty-five billion, three hundred sixty-three million, four hundred ninety-seven thousand, nine hundred twenty".