10275721461 has 12 divisors (see below), whose sum is σ = 15122760588. Its totient is φ = 6721226304.

The previous prime is 10275721439. The next prime is 10275721471. The reversal of 10275721461 is 16412757201.

10275721461 is a `hidden beast` number, since 1 + 0 + 27 + 572 + 1 + 4 + 61 = 666.

10275721461 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 2 ways, for example, as 4939418961 + 5336302500 = 70281^2 + 73050^2 .

It is not a de Polignac number, because 10275721461 - 2⁷ = 10275721333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10275721471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10770720 + ... + 10771673.

It is an arithmetic number, because the mean of its divisors is an integer number (1260230049).

Almost surely, 2^10275721461 is an apocalyptic number.

It is an amenable number.

10275721461 is a deficient number, since it is larger than the sum of its proper divisors (4847039127).

10275721461 is a wasteful number, since it uses less digits than its factorization.

10275721461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21542452 (or 21542449 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10275721461 in words is "ten billion, two hundred seventy-five million, seven hundred twenty-one thousand, four hundred sixty-one".