1032552500 has 90 divisors (see below), whose sum is σ = 2626948170. Its totient is φ = 353976000.

The previous prime is 1032552439. The next prime is 1032552533. The reversal of 1032552500 is 52552301.

It can be written as a sum of positive squares in 5 ways, for example, as 592727716 + 439824784 = 24346^2 + 20972^2 .

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 118286 + ... + 126714.

It is an arithmetic number, because the mean of its divisors is an integer number (29188313).

Almost surely, 2^1032552500 is an apocalyptic number.

1032552500 is a gapful number since it is divisible by the number (10) 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 1032552500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313474085).

1032552500 is an abundant number, since it is smaller than the sum of its proper divisors (1594395670).

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

1032552500 is an equidigital number, since it uses as much as digits as its factorization.

1032552500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 1032552500 is about 32133.3549446677. The cubic root of 1032552500 is about 1010.7351769215.

The spelling of 1032552500 in words is "one billion, thirty-two million, five hundred fifty-two thousand, five hundred".