388758485025 has 81 divisors (see below), whose sum is σ = 703194752793. Its totient is φ = 205307726400.

The previous prime is 388758484943. The next prime is 388758485053. The reversal of 388758485025 is 520584857883.

It is a happy number.

The square root of 388758485025 is 623505.

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

388758485025 is a `hidden beast` number, since 3 + 8 + 87 + 5 + 8 + 48 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89645749281 + 299112735744 = 299409^2 + 546912^2 .

It is not a de Polignac number, because 388758485025 - 2³¹ = 386611001377 is a prime.

It is a super-2 number, since 2×388758485025² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1842457170 + ... + 1842457380.

Almost surely, 2^388758485025 is an apocalyptic number.

388758485025 is the 623505-th square number.

388758485025 is the 311753-rd centered octagonal number.

It is an amenable number.

388758485025 is a deficient number, since it is larger than the sum of its proper divisors (314436267768).

388758485025 is an equidigital number, since it uses as much as digits as its factorization.

388758485025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 63.

The spelling of 388758485025 in words is "three hundred eighty-eight billion, seven hundred fifty-eight million, four hundred eighty-five thousand, twenty-five".