8013683414025 has 81 divisors (see below), whose sum is σ = 14715215748597. Its totient is φ = 4168815580800.

The previous prime is 8013683413973. The next prime is 8013683414027. The reversal of 8013683414025 is 5204143863108.

The square root of 8013683414025 is 2830845.

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

8013683414025 is a `hidden beast` number, since 8 + 0 + 136 + 83 + 414 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3373088540409 + 4640594873616 = 1836597^2 + 2154204^2 .

It is not a de Polignac number, because 8013683414025 - 2¹⁷ = 8013683282953 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (8013683414027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1740967374 + ... + 1740971976.

Almost surely, 2^{8013683414025} is an apocalyptic number.

8013683414025 is the 2830845-th square number.

8013683414025 is the 1415423-rd centered octagonal number.

It is an amenable number.

8013683414025 is a deficient number, since it is larger than the sum of its proper divisors (6701532334572).

8013683414025 is an frugal number, since it uses more digits than its factorization.

8013683414025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9304 (or 4652 counting only the distinct ones).

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

The spelling of 8013683414025 in words is "eight trillion, thirteen billion, six hundred eighty-three million, four hundred fourteen thousand, twenty-five".