10642633034125 has 16 divisors (see below), whose sum is σ = 13287798798768. Its totient is φ = 8510393112000.

The previous prime is 10642633034119. The next prime is 10642633034129. The reversal of 10642633034125 is 52143033624601.

It can be written as a sum of positive squares in 8 ways, for example, as 2249433035721 + 8393199998404 = 1499811^2 + 2897102^2 .

It is not a de Polignac number, because 10642633034125 - 2⁴¹ = 8443609778573 is a prime.

It is a super-3 number, since 3×10642633034125³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642633034129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18278806 + ... + 18852055.

It is an arithmetic number, because the mean of its divisors is an integer number (830487424923).

Almost surely, 2^{10642633034125} is an apocalyptic number.

It is an amenable number.

10642633034125 is a deficient number, since it is larger than the sum of its proper divisors (2645165764643).

10642633034125 is an equidigital number, since it uses as much as digits as its factorization.

10642633034125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37133169 (or 37133159 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

Adding to 10642633034125 its reverse (52143033624601), we get a palindrome (62785666658726).

The spelling of 10642633034125 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-three million, thirty-four thousand, one hundred twenty-five".