10225250113311 has 48 divisors (see below), whose sum is σ = 15960703449600. Its totient is φ = 6284775492864.

The previous prime is 10225250113249. The next prime is 10225250113333. The reversal of 10225250113311 is 11331105252201.

10225250113311 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 525 + 0 + 1 + 133 + 1 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-10225250113311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225250113391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951351 + ... + 4621208.

It is an arithmetic number, because the mean of its divisors is an integer number (332514655200).

Almost surely, 2^{10225250113311} is an apocalyptic number.

10225250113311 is a deficient number, since it is larger than the sum of its proper divisors (5735453336289).

10225250113311 is a wasteful number, since it uses less digits than its factorization.

10225250113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572828 (or 5572825 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10225250113311 its reverse (11331105252201), we get a palindrome (21556355365512).

The spelling of 10225250113311 in words is "ten trillion, two hundred twenty-five billion, two hundred fifty million, one hundred thirteen thousand, three hundred eleven".