10638437125 has 16 divisors (see below), whose sum is σ = 13289932656. Its totient is φ = 8502312000.

The previous prime is 10638437107. The next prime is 10638437177. The reversal of 10638437125 is 52173483601.

It can be written as a sum of positive squares in 8 ways, for example, as 2376172516 + 8262264609 = 48746^2 + 90897^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10638437125 is a prime.

It is a super-3 number, since 3×10638437125³ (a number of 31 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85947 + ... + 169303.

It is an arithmetic number, because the mean of its divisors is an integer number (830620791).

Almost surely, 2^10638437125 is an apocalyptic number.

It is an amenable number.

10638437125 is a deficient number, since it is larger than the sum of its proper divisors (2651495531).

10638437125 is an equidigital number, since it uses as much as digits as its factorization.

10638437125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84393 (or 84383 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 10638437125 in words is "ten billion, six hundred thirty-eight million, four hundred thirty-seven thousand, one hundred twenty-five".