10002551307525 has 72 divisors (see below), whose sum is σ = 20476622537280. Its totient is φ = 4572246769920.

The previous prime is 10002551307509. The next prime is 10002551307577. The reversal of 10002551307525 is 52570315520001.

10002551307525 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 551 + 30 + 75 + 2 + 5 = 666.

It is not a de Polignac number, because 10002551307525 - 2⁴ = 10002551307509 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002551307525.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 21047986 + ... + 21517964.

It is an arithmetic number, because the mean of its divisors is an integer number (284397535240).

Almost surely, 2^{10002551307525} is an apocalyptic number.

10002551307525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10002551307525 is an abundant number, since it is smaller than the sum of its proper divisors (10474071229755).

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

10002551307525 is a wasteful number, since it uses less digits than its factorization.

10002551307525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483515 (or 483507 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

Adding to 10002551307525 its reverse (52570315520001), we get a palindrome (62572866827526).

The spelling of 10002551307525 in words is "ten trillion, two billion, five hundred fifty-one million, three hundred seven thousand, five hundred twenty-five".