10252052500 has 120 divisors (see below), whose sum is σ = 23221847880. Its totient is φ = 3955968000.

The previous prime is 10252052497. The next prime is 10252052507. The reversal of 10252052500 is 525025201.

It can be written as a sum of positive squares in 20 ways, for example, as 7018083076 + 3233969424 = 83774^2 + 56868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252052507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12672096 + ... + 12672904.

It is an arithmetic number, because the mean of its divisors is an integer number (193515399).

Almost surely, 2^10252052500 is an apocalyptic number.

10252052500 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 10252052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11610923940).

10252052500 is an abundant number, since it is smaller than the sum of its proper divisors (12969795380).

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

10252052500 is a wasteful number, since it uses less digits than its factorization.

10252052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

Adding to 10252052500 its reverse (525025201), we get a palindrome (10777077701).

The spelling of 10252052500 in words is "ten billion, two hundred fifty-two million, fifty-two thousand, five hundred".