38504250625 has 45 divisors (see below), whose sum is σ = 49456550869. Its totient is φ = 29967482000.

The previous prime is 38504250599. The next prime is 38504250641. The reversal of 38504250625 is 52605240583.

It is a happy number.

The square root of 38504250625 is 196225.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3018733249 + 35485517376 = 54943^2 + 188376^2 .

It is not a de Polignac number, because 38504250625 - 2⁵ = 38504250593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 230564292 + ... + 230564458.

Almost surely, 2^38504250625 is an apocalyptic number.

38504250625 is the 196225-th square number.

38504250625 is the 98113-rd centered octagonal number.

It is an amenable number.

38504250625 is a deficient number, since it is larger than the sum of its proper divisors (10952300244).

38504250625 is an frugal number, since it uses more digits than its factorization.

38504250625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 38504250625 in words is "thirty-eight billion, five hundred four million, two hundred fifty thousand, six hundred twenty-five".