1325557825536 has 720 divisors, whose sum is σ = 4414705774080. Its totient is φ = 345577881600.

The previous prime is 1325557825531. The next prime is 1325557825541. The reversal of 1325557825536 is 6355287555231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1325557825531) and next prime (1325557825541).

It is a super-2 number, since 2×1325557825536² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325557825531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6282264471 + ... + 6282264681.

Almost surely, 2^{1325557825536} is an apocalyptic number.

1325557825536 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 1325557825536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207352887040).

1325557825536 is an abundant number, since it is smaller than the sum of its proper divisors (3089147948544).

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

1325557825536 is an equidigital number, since it uses as much as digits as its factorization.

1325557825536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 273 counting only the distinct ones).

The product of its digits is 37800000, while the sum is 57.

The spelling of 1325557825536 in words is "one trillion, three hundred twenty-five billion, five hundred fifty-seven million, eight hundred twenty-five thousand, five hundred thirty-six".