388028080561 has 9 divisors (see below), whose sum is σ = 426517736043. Its totient is φ = 352746571320.

The previous prime is 388028080537. The next prime is 388028080591. The reversal of 388028080561 is 165080820883.

It is a happy number.

The square root of 388028080561 is 622919.

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., 155260428961 + 232767651600 = 394031^2 + 482460^2 .

It is not a de Polignac number, because 388028080561 - 2²³ = 388019691953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (388028080501) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 6823795 + ... + 6880423.

Almost surely, 2^388028080561 is an apocalyptic number.

388028080561 is the 622919-th square number.

388028080561 is the 311460-th centered octagonal number.

It is an amenable number.

388028080561 is a deficient number, since it is larger than the sum of its proper divisors (38489655482).

388028080561 is an frugal number, since it uses more digits than its factorization.

388028080561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113280 (or 56640 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

Multiplying 388028080561 by its sum of digits (49), we get a square (19013375947489 = 4360433²).

The spelling of 388028080561 in words is "three hundred eighty-eight billion, twenty-eight million, eighty thousand, five hundred sixty-one".