8532952000 has 56 divisors (see below), whose sum is σ = 21131875440. Its totient is φ = 3413177600.

The previous prime is 8532951991. The next prime is 8532952009. The reversal of 8532952000 is 2592358.

It is an interprime number because it is at equal distance from previous prime (8532951991) and next prime (8532952009).

It is a super-2 number, since 2×8532952000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8532952009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525310 + ... + 541309.

Almost surely, 2^8532952000 is an apocalyptic number.

8532952000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8532952000 is an abundant number, since it is smaller than the sum of its proper divisors (12598923440).

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

8532952000 is a wasteful number, since it uses less digits than its factorization.

8532952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066646 (or 1066626 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 8532952000 is about 92373.9790200682. The cubic root of 8532952000 is about 2043.4613797491.

The spelling of 8532952000 in words is "eight billion, five hundred thirty-two million, nine hundred fifty-two thousand".