10254012561 has 32 divisors (see below), whose sum is σ = 16376304000. Its totient is φ = 6303749184.

The previous prime is 10254012541. The next prime is 10254012599. The reversal of 10254012561 is 16521045201.

10254012561 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 401 + 256 + 1 = 666.

It is not a de Polignac number, because 10254012561 - 2⁵ = 10254012529 is a prime.

It is a super-2 number, since 2×10254012561² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10254012541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343335 + ... + 372003.

It is an arithmetic number, because the mean of its divisors is an integer number (511759500).

Almost surely, 2^10254012561 is an apocalyptic number.

It is an amenable number.

10254012561 is a deficient number, since it is larger than the sum of its proper divisors (6122291439).

10254012561 is a wasteful number, since it uses less digits than its factorization.

10254012561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29710 (or 29704 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10254012561 its reverse (16521045201), we get a palindrome (26775057762).

The spelling of 10254012561 in words is "ten billion, two hundred fifty-four million, twelve thousand, five hundred sixty-one".