10505047526361 has 24 divisors (see below), whose sum is σ = 15357055336896. Its totient is φ = 6918861408480.

The previous prime is 10505047526231. The next prime is 10505047526419. The reversal of 10505047526361 is 16362574050501.

10505047526361 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 0 + 4 + 7 + 5 + 2 + 636 + 1 = 666.

10505047526361 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 10505047526361 - 2¹¹ = 10505047524313 is a prime.

It is a super-2 number, since 2×10505047526361² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505047526861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59837436 + ... + 60012738.

It is an arithmetic number, because the mean of its divisors is an integer number (639877305704).

Almost surely, 2^{10505047526361} is an apocalyptic number.

It is an amenable number.

10505047526361 is a deficient number, since it is larger than the sum of its proper divisors (4852007810535).

10505047526361 is a wasteful number, since it uses less digits than its factorization.

10505047526361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255613 (or 255610 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 10505047526361 in words is "ten trillion, five hundred five billion, forty-seven million, five hundred twenty-six thousand, three hundred sixty-one".