1003255024352 has 96 divisors (see below), whose sum is σ = 2290853376000. Its totient is φ = 423603468288.

The previous prime is 1003255024351. The next prime is 1003255024357. The reversal of 1003255024352 is 2534205523001.

It is a super-2 number, since 2×1003255024352² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003255024351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8132024 + ... + 8254472.

It is an arithmetic number, because the mean of its divisors is an integer number (23863056000).

Almost surely, 2^{1003255024352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003255024352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145426688000).

1003255024352 is an abundant number, since it is smaller than the sum of its proper divisors (1287598351648).

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

1003255024352 is a wasteful number, since it uses less digits than its factorization.

1003255024352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123008 (or 123000 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 1003255024352 in words is "one trillion, three billion, two hundred fifty-five million, twenty-four thousand, three hundred fifty-two".