1032520131552 has 384 divisors, whose sum is σ = 3387140112384. Its totient is φ = 268157288448.

The previous prime is 1032520131541. The next prime is 1032520131623. The reversal of 1032520131552 is 2551310252301.

It is a congruent number.

It is an unprimeable number.

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, 151994268 + ... + 152001060.

It is an arithmetic number, because the mean of its divisors is an integer number (8820677376).

Almost surely, 2^{1032520131552} is an apocalyptic number.

1032520131552 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 1032520131552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693570056192).

1032520131552 is an abundant number, since it is smaller than the sum of its proper divisors (2354619980832).

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

1032520131552 is a wasteful number, since it uses less digits than its factorization.

1032520131552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 1032520131552 its reverse (2551310252301), we get a palindrome (3583830383853).

The spelling of 1032520131552 in words is "one trillion, thirty-two billion, five hundred twenty million, one hundred thirty-one thousand, five hundred fifty-two".