1325187216450 has 144 divisors (see below), whose sum is σ = 3597348433536. Its totient is φ = 349724419200.

The previous prime is 1325187216443. The next prime is 1325187216497. The reversal of 1325187216450 is 546127815231.

1325187216450 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 187 + 2 + 16 + 450 = 666.

It is a super-3 number, since 3×1325187216450³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1325187216396 and 1325187216405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21604024 + ... + 21665276.

It is an arithmetic number, because the mean of its divisors is an integer number (24981586344).

Almost surely, 2^{1325187216450} is an apocalyptic number.

1325187216450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325187216450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798674216768).

1325187216450 is an abundant number, since it is smaller than the sum of its proper divisors (2272161217086).

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

1325187216450 is a wasteful number, since it uses less digits than its factorization.

1325187216450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61769 (or 61761 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1325187216450 in words is "one trillion, three hundred twenty-five billion, one hundred eighty-seven million, two hundred sixteen thousand, four hundred fifty".