9506452500 has 180 divisors, whose sum is σ = 30126996900. Its totient is φ = 2526720000.

The previous prime is 9506452477. The next prime is 9506452507. The reversal of 9506452500 is 52546059.

9506452500 is a `hidden beast` number, since 9 + 5 + 0 + 645 + 2 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 6312620304 + 3193832196 = 79452^2 + 56514^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9506452507) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10102030 + ... + 10102970.

It is an arithmetic number, because the mean of its divisors is an integer number (167372205).

Almost surely, 2^9506452500 is an apocalyptic number.

9506452500 is a gapful number since it is divisible by the number (90) 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 9506452500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15063498450).

9506452500 is an abundant number, since it is smaller than the sum of its proper divisors (20620544400).

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

9506452500 is a wasteful number, since it uses less digits than its factorization.

9506452500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 9506452500 is about 97501.0384560083. The cubic root of 9506452500 is about 2118.3911862683.

Adding to 9506452500 its reverse (52546059), we get a palindrome (9558998559).

The spelling of 9506452500 in words is "nine billion, five hundred six million, four hundred fifty-two thousand, five hundred".