10241253642231 has 72 divisors (see below), whose sum is σ = 15661468014192. Its totient is φ = 6687568396800.

The previous prime is 10241253642211. The next prime is 10241253642299. The reversal of 10241253642231 is 13224635214201.

It is a happy number.

10241253642231 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 2 + 5 + 3 + 642 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 10241253642231 - 2⁶ = 10241253642167 is a prime.

It is a super-2 number, since 2×10241253642231² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241253642211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 217889425 + ... + 217936421.

It is an arithmetic number, because the mean of its divisors is an integer number (217520389086).

Almost surely, 2^{10241253642231} is an apocalyptic number.

10241253642231 is a deficient number, since it is larger than the sum of its proper divisors (5420214371961).

10241253642231 is an frugal number, since it uses more digits than its factorization.

10241253642231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47375 (or 47302 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10241253642231 its reverse (13224635214201), we get a palindrome (23465888856432).

The spelling of 10241253642231 in words is "ten trillion, two hundred forty-one billion, two hundred fifty-three million, six hundred forty-two thousand, two hundred thirty-one".