10065132025 has 24 divisors (see below), whose sum is σ = 13768665624. Its totient is φ = 7251417600.

The previous prime is 10065132001. The next prime is 10065132041. The reversal of 10065132025 is 52023156001.

It can be written as a sum of positive squares in 12 ways, for example, as 3544892521 + 6520239504 = 59539^2 + 80748^2 .

It is not a de Polignac number, because 10065132025 - 2⁹ = 10065131513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364354 + ... + 391003.

It is an arithmetic number, because the mean of its divisors is an integer number (573694401).

Almost surely, 2^10065132025 is an apocalyptic number.

It is an amenable number.

10065132025 is a deficient number, since it is larger than the sum of its proper divisors (3703533599).

10065132025 is a wasteful number, since it uses less digits than its factorization.

10065132025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755421 (or 755416 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 10065132025 its reverse (52023156001), we get a palindrome (62088288026).

The spelling of 10065132025 in words is "ten billion, sixty-five million, one hundred thirty-two thousand, twenty-five".