38534111532225 has 243 divisors, whose sum is σ = 76227899587203. Its totient is φ = 18603685298880.

The previous prime is 38534111532211. The next prime is 38534111532227. The reversal of 38534111532225 is 52223511143583.

The square root of 38534111532225 is 6207585.

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

38534111532225 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 411 + 1 + 5 + 3 + 2 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13872280151601 + 24661831380624 = 3724551^2 + 4966068^2 .

It is not a de Polignac number, because 38534111532225 - 2¹⁷ = 38534111401153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38534111532227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 40690719202 + ... + 40690720148.

Almost surely, 2^{38534111532225} is an apocalyptic number.

38534111532225 is the 6207585-th square number.

38534111532225 is the 3103793-rd centered octagonal number.

It is an amenable number.

38534111532225 is a deficient number, since it is larger than the sum of its proper divisors (37693788054978).

38534111532225 is an equidigital number, since it uses as much as digits as its factorization.

38534111532225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 997 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 38534111532225 in words is "thirty-eight trillion, five hundred thirty-four billion, one hundred eleven million, five hundred thirty-two thousand, two hundred twenty-five".