10225435311 has 48 divisors (see below), whose sum is σ = 18271116864. Its totient is φ = 5366172672.

The previous prime is 10225435309. The next prime is 10225435327. The reversal of 10225435311 is 11353452201.

10225435311 is a `hidden beast` number, since 1 + 0 + 225 + 435 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 10225435311 - 2¹ = 10225435309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225435391) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 129655 + ... + 193031.

It is an arithmetic number, because the mean of its divisors is an integer number (380648268).

Almost surely, 2^10225435311 is an apocalyptic number.

10225435311 is a deficient number, since it is larger than the sum of its proper divisors (8045681553).

10225435311 is a wasteful number, since it uses less digits than its factorization.

10225435311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63600 (or 63597 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10225435311 its reverse (11353452201), we get a palindrome (21578887512).

The spelling of 10225435311 in words is "ten billion, two hundred twenty-five million, four hundred thirty-five thousand, three hundred eleven".