10253313252519 has 16 divisors (see below), whose sum is σ = 13875366750720. Its totient is φ = 6733404437760.

The previous prime is 10253313252443. The next prime is 10253313252569. The reversal of 10253313252519 is 91525231335201.

It is not a de Polignac number, because 10253313252519 - 2²⁰ = 10253312203943 is a prime.

It is a super-2 number, since 2×10253313252519² (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 (10253313252569) 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 15 ways as a sum of consecutive naturals, for example, 12322647 + ... + 13128375.

It is an arithmetic number, because the mean of its divisors is an integer number (867210421920).

Almost surely, 2^{10253313252519} is an apocalyptic number.

10253313252519 is a deficient number, since it is larger than the sum of its proper divisors (3622053498201).

10253313252519 is an equidigital number, since it uses as much as digits as its factorization.

10253313252519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869110.

The product of its (nonzero) digits is 243000, while the sum is 42.

The spelling of 10253313252519 in words is "ten trillion, two hundred fifty-three billion, three hundred thirteen million, two hundred fifty-two thousand, five hundred nineteen".