10253202256341 has 12 divisors (see below), whose sum is σ = 16156561131360. Its totient is φ = 6214061973480.

The previous prime is 10253202256331. The next prime is 10253202256403. The reversal of 10253202256341 is 14365220235201.

10253202256341 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 32 + 0 + 22 + 563 + 41 = 666.

10253202256341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10253202256341 - 2⁶ = 10253202256277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10253202256296 and 10253202256305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253202256331) 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, 51783849681 + ... + 51783849878.

It is an arithmetic number, because the mean of its divisors is an integer number (1346380094280).

Almost surely, 2^{10253202256341} is an apocalyptic number.

10253202256341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10253202256341 is a deficient number, since it is larger than the sum of its proper divisors (5903358875019).

10253202256341 is a wasteful number, since it uses less digits than its factorization.

10253202256341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103567699576 (or 103567699573 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10253202256341 in words is "ten trillion, two hundred fifty-three billion, two hundred two million, two hundred fifty-six thousand, three hundred forty-one".