93808038557025 has 81 divisors (see below), whose sum is σ = 181943151227019. Its totient is φ = 46181489178240.

The previous prime is 93808038557017. The next prime is 93808038557029. The reversal of 93808038557025 is 52075583080839.

The square root of 93808038557025 is 9685455.

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

93808038557025 is a `hidden beast` number, since 9 + 3 + 8 + 0 + 8 + 0 + 38 + 5 + 570 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 85764620724561 + 8043417832464 = 9260919^2 + 2836092^2 .

It is not a de Polignac number, because 93808038557025 - 2³ = 93808038557017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (93808038557029) 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, 1888638891 + ... + 1888688559.

Almost surely, 2^{93808038557025} is an apocalyptic number.

93808038557025 is the 9685455-th square number.

93808038557025 is the 4842728-th centered octagonal number.

It is an amenable number.

93808038557025 is a deficient number, since it is larger than the sum of its proper divisors (88135112669994).

93808038557025 is an frugal number, since it uses more digits than its factorization.

93808038557025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99380 (or 49690 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 93808038557025 in words is "ninety-three trillion, eight hundred eight billion, thirty-eight million, five hundred fifty-seven thousand, twenty-five".