1352544755352 has 256 divisors, whose sum is σ = 4057211289600. Its totient is φ = 367746462720.

The previous prime is 1352544755351. The next prime is 1352544755363. The reversal of 1352544755352 is 2535574452531.

It is a junction number, because it is equal to n+sod(n) for n = 1352544755295 and 1352544755304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352544755351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45149643 + ... + 45179589.

It is an arithmetic number, because the mean of its divisors is an integer number (15848481600).

Almost surely, 2^{1352544755352} is an apocalyptic number.

1352544755352 is a gapful number since it is divisible by the number (12) 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 1352544755352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028605644800).

1352544755352 is an abundant number, since it is smaller than the sum of its proper divisors (2704666534248).

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

1352544755352 is a wasteful number, since it uses less digits than its factorization.

1352544755352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30166 (or 30162 counting only the distinct ones).

The product of its digits is 12600000, while the sum is 51.

The spelling of 1352544755352 in words is "one trillion, three hundred fifty-two billion, five hundred forty-four million, seven hundred fifty-five thousand, three hundred fifty-two".