4118971725625 has 15 divisors (see below), whose sum is σ = 5147130471483. Its totient is φ = 3295136790000.

The previous prime is 4118971725611. The next prime is 4118971725653. The reversal of 4118971725625 is 5265271798114.

It is a happy number.

The square root of 4118971725625 is 2029525.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2662422046249 + 1456549679376 = 1631693^2 + 1206876^2 .

It is not a de Polignac number, because 4118971725625 - 2¹⁷ = 4118971594553 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4118971725625.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 50697535 + ... + 50778715.

Almost surely, 2^{4118971725625} is an apocalyptic number.

4118971725625 is the 2029525-th square number.

4118971725625 is the 1014763-rd centered octagonal number.

It is an amenable number.

4118971725625 is a deficient number, since it is larger than the sum of its proper divisors (1028158745858).

4118971725625 is an frugal number, since it uses more digits than its factorization.

4118971725625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162382 (or 81186 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 58.

The spelling of 4118971725625 in words is "four trillion, one hundred eighteen billion, nine hundred seventy-one million, seven hundred twenty-five thousand, six hundred twenty-five".