10531225204500 has 768 divisors, whose sum is σ = 41230153875456. Its totient is φ = 2017278720000.

The previous prime is 10531225204441. The next prime is 10531225204517. The reversal of 10531225204500 is 540252213501.

It is a super-2 number, since 2×10531225204500² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1232727229 + ... + 1232735771.

It is an arithmetic number, because the mean of its divisors is an integer number (53685096192).

Almost surely, 2^{10531225204500} is an apocalyptic number.

10531225204500 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 10531225204500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20615076937728).

10531225204500 is an abundant number, since it is smaller than the sum of its proper divisors (30698928670956).

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

10531225204500 is a wasteful number, since it uses less digits than its factorization.

10531225204500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 10531225204500 in words is "ten trillion, five hundred thirty-one billion, two hundred twenty-five million, two hundred four thousand, five hundred".