1002532000 has 96 divisors (see below), whose sum is σ = 2523712464. Its totient is φ = 391168000.

The previous prime is 1002531977. The next prime is 1002532009. The reversal of 1002532000 is 2352001.

It can be written as a sum of positive squares in 8 ways, for example, as 5740816 + 996791184 = 2396^2 + 31572^2 .

It is a super-2 number, since 2×1002532000² = 2010140822048000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002532009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160944 + ... + 167056.

Almost surely, 2^1002532000 is an apocalyptic number.

1002532000 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 1002532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261856232).

1002532000 is an abundant number, since it is smaller than the sum of its proper divisors (1521180464).

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

1002532000 is an equidigital number, since it uses as much as digits as its factorization.

1002532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1002532000 is about 31662.7857270961. The cubic root of 1002532000 is about 1000.8432886643.

Adding to 1002532000 its reverse (2352001), we get a palindrome (1004884001).

It can be divided in two parts, 10025 and 32000, that added together give a square (42025 = 205²).

The spelling of 1002532000 in words is "one billion, two million, five hundred thirty-two thousand".