38387256105025 has 27 divisors (see below), whose sum is σ = 47754851025819. Its totient is φ = 30610350785280.

The previous prime is 38387256104999. The next prime is 38387256105119. The reversal of 38387256105025 is 52050165278383.

The square root of 38387256105025 is 6195745.

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

It can be written as a sum of positive squares in 13 ways, for example, as 21561377156929 + 16825878948096 = 4643423^2 + 4101936^2 .

It is not a de Polignac number, because 38387256105025 - 2³³ = 38378666170433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10439828487 + ... + 10439832163.

Almost surely, 2^{38387256105025} is an apocalyptic number.

38387256105025 is the 6195745-th square number.

38387256105025 is the 3097873-rd centered octagonal number.

It is an amenable number.

38387256105025 is a deficient number, since it is larger than the sum of its proper divisors (9367594920794).

38387256105025 is an frugal number, since it uses more digits than its factorization.

38387256105025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 55.

The spelling of 38387256105025 in words is "thirty-eight trillion, three hundred eighty-seven billion, two hundred fifty-six million, one hundred five thousand, twenty-five".