10409257560281 has 16 divisors (see below), whose sum is σ = 10753721346000. Its totient is φ = 10068252058368.

The previous prime is 10409257560271. The next prime is 10409257560293. The reversal of 10409257560281 is 18206575290401.

10409257560281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 800280533056 + 9608977027225 = 894584^2 + 3099835^2 .

It is a cyclic number.

It is not a de Polignac number, because 10409257560281 - 2²² = 10409253365977 is a prime.

It is a super-2 number, since 2×10409257560281² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10409257560211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4592195 + ... + 6473543.

It is an arithmetic number, because the mean of its divisors is an integer number (672107584125).

Almost surely, 2^{10409257560281} is an apocalyptic number.

It is an amenable number.

10409257560281 is a deficient number, since it is larger than the sum of its proper divisors (344463785719).

10409257560281 is a wasteful number, since it uses less digits than its factorization.

10409257560281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882268.

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 10409257560281 in words is "ten trillion, four hundred nine billion, two hundred fifty-seven million, five hundred sixty thousand, two hundred eighty-one".