10051251822225 has 36 divisors (see below), whose sum is σ = 18015945515932. Its totient is φ = 5356785744000.

The previous prime is 10051251822197. The next prime is 10051251822233. The reversal of 10051251822225 is 52222815215001.

10051251822225 is a `hidden beast` number, since 10 + 0 + 512 + 51 + 82 + 2 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 431006693121 + 9620245129104 = 656511^2 + 3101652^2 .

It is not a de Polignac number, because 10051251822225 - 2¹⁰ = 10051251821201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10051251822225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15863146 + ... + 16484595.

Almost surely, 2^{10051251822225} is an apocalyptic number.

10051251822225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10051251822225 is a deficient number, since it is larger than the sum of its proper divisors (7964693693707).

10051251822225 is a wasteful number, since it uses less digits than its factorization.

10051251822225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32349138 (or 32349130 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 10051251822225 in words is "ten trillion, fifty-one billion, two hundred fifty-one million, eight hundred twenty-two thousand, two hundred twenty-five".