38289920773225 has 27 divisors (see below), whose sum is σ = 52188676547511. Its totient is φ = 27846967592400.

The previous prime is 38289920773147. The next prime is 38289920773249. The reversal of 38289920773225 is 52237702998283.

The square root of 38289920773225 is 6187885.

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

It can be written as a sum of positive squares in only one way, i.e., 13784371478361 + 24505549294864 = 3712731^2 + 4950308^2 .

It is not a de Polignac number, because 38289920773225 - 2²³ = 38289912384617 is a prime.

It is a super-2 number, since 2×38289920773225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 340277422 + ... + 340389928.

Almost surely, 2^{38289920773225} is an apocalyptic number.

38289920773225 is the 6187885-th square number.

38289920773225 is the 3093943-rd centered octagonal number.

It is an amenable number.

38289920773225 is a deficient number, since it is larger than the sum of its proper divisors (13898755774286).

38289920773225 is an frugal number, since it uses more digits than its factorization.

38289920773225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225046 (or 112523 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 67.

The spelling of 38289920773225 in words is "thirty-eight trillion, two hundred eighty-nine billion, nine hundred twenty million, seven hundred seventy-three thousand, two hundred twenty-five".