48093046057225 has 135 divisors (see below), whose sum is σ = 67146653631993. Its totient is φ = 34169047436160.

The previous prime is 48093046057187. The next prime is 48093046057249. The reversal of 48093046057225 is 52275064039084.

It is a happy number.

The square root of 48093046057225 is 6934915.

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

48093046057225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 18642800988361 + 29450245068864 = 4317731^2 + 5426808^2 .

It is not a de Polignac number, because 48093046057225 - 2¹³ = 48093046049033 is a prime.

It is a super-3 number, since 3×48093046057225³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 169940091934 + ... + 169940092216.

Almost surely, 2^{48093046057225} is an apocalyptic number.

48093046057225 is the 6934915-th square number.

48093046057225 is the 3467458-th centered octagonal number.

It is an amenable number.

48093046057225 is a deficient number, since it is larger than the sum of its proper divisors (19053607574768).

48093046057225 is an frugal number, since it uses more digits than its factorization.

48093046057225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 48093046057225 in words is "forty-eight trillion, ninety-three billion, forty-six million, fifty-seven thousand, two hundred twenty-five".