10052500301000 has 128 divisors (see below), whose sum is σ = 23974093260000. Its totient is φ = 3943911628800.

The previous prime is 10052500300903. The next prime is 10052500301033. The reversal of 10052500301000 is 10300525001.

It can be written as a sum of positive squares in 16 ways, for example, as 73231936996 + 9979268364004 = 270614^2 + 3158998^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10052500301000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181921376 + ... + 181976624.

Almost surely, 2^{10052500301000} is an apocalyptic number.

10052500301000 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 10052500301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11987046630000).

10052500301000 is an abundant number, since it is smaller than the sum of its proper divisors (13921592959000).

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

10052500301000 is a wasteful number, since it uses less digits than its factorization.

10052500301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58756 (or 58742 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

Adding to 10052500301000 its reverse (10300525001), we get a palindrome (10062800826001).

The spelling of 10052500301000 in words is "ten trillion, fifty-two billion, five hundred million, three hundred one thousand".