10212561 has 14 divisors (see below), whose sum is σ = 15312930. Its totient is φ = 6807888.

The previous prime is 10212541. The next prime is 10212577. The reversal of 10212561 is 16521201.

10212561 is a `hidden beast` number, since 102 + 1 + 2 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9641025 + 571536 = 3105^2 + 756^2 .

It is not a de Polignac number, because 10212561 - 2²³ = 1823953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6276 + ... + 7733.

Almost surely, 2^10212561 is an apocalyptic number.

It is an amenable number.

10212561 is a deficient number, since it is larger than the sum of its proper divisors (5100369).

10212561 is an frugal number, since it uses more digits than its factorization.

10212561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14027 (or 14012 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10212561 is about 3195.7097803149. The cubic root of 10212561 is about 216.9592751341.

Adding to 10212561 its reverse (16521201), we get a palindrome (26733762).

The spelling of 10212561 in words is "ten million, two hundred twelve thousand, five hundred sixty-one".