48380858253225 has 81 divisors (see below), whose sum is σ = 92056095568047. Its totient is φ = 24284403233280.

The previous prime is 48380858253179. The next prime is 48380858253251. The reversal of 48380858253225 is 52235285808384.

The square root of 48380858253225 is 6955635.

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

48380858253225 is a `hidden beast` number, since 4 + 8 + 3 + 80 + 85 + 8 + 253 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 31636001418921 + 16744856834304 = 5624589^2 + 4092048^2 .

It is not a de Polignac number, because 48380858253225 - 2¹⁷ = 48380858122153 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1773673287 + ... + 1773700563.

Almost surely, 2^{48380858253225} is an apocalyptic number.

48380858253225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48380858253225 is the 6955635-th square number.

48380858253225 is the 3477818-th centered octagonal number.

It is an amenable number.

48380858253225 is a deficient number, since it is larger than the sum of its proper divisors (43675237314822).

48380858253225 is an frugal number, since it uses more digits than its factorization.

48380858253225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54604 (or 27302 counting only the distinct ones).

The product of its (nonzero) digits is 147456000, while the sum is 63.

The spelling of 48380858253225 in words is "forty-eight trillion, three hundred eighty billion, eight hundred fifty-eight million, two hundred fifty-three thousand, two hundred twenty-five".