10138843064025 has 135 divisors (see below), whose sum is σ = 20340171921069. Its totient is φ = 4990513394880.

The previous prime is 10138843063997. The next prime is 10138843064047. The reversal of 10138843064025 is 52046034883101.

The square root of 10138843064025 is 3184155.

It is a perfect power (a square), and thus also a powerful number.

10138843064025 is a `hidden beast` number, since 1 + 0 + 138 + 8 + 430 + 64 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2613301798041 + 7525541265984 = 1616571^2 + 2743272^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-10138843064025 is a prime.

It is a super-2 number, since 2×10138843064025² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1862727954 + ... + 1862733396.

Almost surely, 2^{10138843064025} is an apocalyptic number.

10138843064025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10138843064025 is the 3184155-th square number.

10138843064025 is the 1592078-th centered octagonal number.

It is an amenable number.

10138843064025 is an abundant number, since it is smaller than the sum of its proper divisors (10201328857044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10138843064025 is an frugal number, since it uses more digits than its factorization.

10138843064025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10934 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10138843064025 in words is "ten trillion, one hundred thirty-eight billion, eight hundred forty-three million, sixty-four thousand, twenty-five".