10253188135201 has 8 divisors (see below), whose sum is σ = 11671613371584. Its totient is φ = 8915815769520.

The previous prime is 10253188135199. The next prime is 10253188135207.

It is a happy number.

10253188135201 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10253188135201 - 2¹ = 10253188135199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10253188135207) 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 7 ways as a sum of consecutive naturals, for example, 20263217406 + ... + 20263217911.

It is an arithmetic number, because the mean of its divisors is an integer number (1458951671448).

Almost surely, 2^{10253188135201} is an apocalyptic number.

10253188135201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10253188135201 is a deficient number, since it is larger than the sum of its proper divisors (1418425236383).

10253188135201 is a wasteful number, since it uses less digits than its factorization.

10253188135201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40526435351.

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 10253188135201 in words is "ten trillion, two hundred fifty-three billion, one hundred eighty-eight million, one hundred thirty-five thousand, two hundred one".