10272560225 has 12 divisors (see below), whose sum is σ = 12881100780. Its totient is φ = 8125708800.

The previous prime is 10272560201. The next prime is 10272560257. The reversal of 10272560225 is 52206527201.

It can be written as a sum of positive squares in 6 ways, for example, as 951043921 + 9321516304 = 30839^2 + 96548^2 .

It is not a de Polignac number, because 10272560225 - 2¹⁰ = 10272559201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10272560191 and 10272560200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2306216 + ... + 2310665.

It is an arithmetic number, because the mean of its divisors is an integer number (1073425065).

Almost surely, 2^10272560225 is an apocalyptic number.

It is an amenable number.

10272560225 is a deficient number, since it is larger than the sum of its proper divisors (2608540555).

10272560225 is an equidigital number, since it uses as much as digits as its factorization.

10272560225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616980 (or 4616975 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 10272560225 in words is "ten billion, two hundred seventy-two million, five hundred sixty thousand, two hundred twenty-five".