10209954825 has 288 divisors, whose sum is σ = 22904843520. Its totient is φ = 4497171840.

The previous prime is 10209954793. The next prime is 10209954827. The reversal of 10209954825 is 52845990201.

It is a happy number.

10209954825 is a `hidden beast` number, since 10 + 2 + 0 + 99 + 548 + 2 + 5 = 666.

It is not a de Polignac number, because 10209954825 - 2⁵ = 10209954793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10209954827) 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 287 ways as a sum of consecutive naturals, for example, 99125724 + ... + 99125826.

Almost surely, 2^10209954825 is an apocalyptic number.

10209954825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10209954825 is an abundant number, since it is smaller than the sum of its proper divisors (12694888695).

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

10209954825 is an equidigital number, since it uses as much as digits as its factorization.

10209954825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10209954825 in words is "ten billion, two hundred nine million, nine hundred fifty-four thousand, eight hundred twenty-five".