10401125225553 has 12 divisors (see below), whose sum is σ = 15024420509748. Its totient is φ = 6933819039840.

The previous prime is 10401125225549. The next prime is 10401125225597. The reversal of 10401125225553 is 35552252110401.

10401125225553 is a `hidden beast` number, since 1 + 0 + 40 + 1 + 12 + 52 + 2 + 5 + 553 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 613037323089 + 9788087902464 = 782967^2 + 3128592^2 .

It is not a de Polignac number, because 10401125225553 - 2² = 10401125225549 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10401125225753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21787738 + ... + 22260003.

It is an arithmetic number, because the mean of its divisors is an integer number (1252035042479).

Almost surely, 2^{10401125225553} is an apocalyptic number.

It is an amenable number.

10401125225553 is a deficient number, since it is larger than the sum of its proper divisors (4623295284195).

10401125225553 is a wasteful number, since it uses less digits than its factorization.

10401125225553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44073984 (or 44073981 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 10401125225553 its reverse (35552252110401), we get a palindrome (45953377335954).

The spelling of 10401125225553 in words is "ten trillion, four hundred one billion, one hundred twenty-five million, two hundred twenty-five thousand, five hundred fifty-three".