1020538387089 has 27 divisors (see below), whose sum is σ = 1596288333627. Its totient is φ = 627999377616.

The previous prime is 1020538387067. The next prime is 1020538387097. The reversal of 1020538387089 is 9807838350201.

The square root of 1020538387089 is 1010217.

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

1020538387089 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 538 + 38 + 70 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150967217025 + 869571170064 = 388545^2 + 932508^2 .

It is not a de Polignac number, because 1020538387089 - 2¹⁹ = 1020537862801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020538387039) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39385512 + ... + 39411414.

Almost surely, 2^{1020538387089} is an apocalyptic number.

1020538387089 is the 1010217-th square number.

1020538387089 is the 505109-th centered octagonal number.

It is an amenable number.

1020538387089 is a deficient number, since it is larger than the sum of its proper divisors (575749946538).

1020538387089 is an frugal number, since it uses more digits than its factorization.

1020538387089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51838 (or 25919 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1020538387089 in words is "one trillion, twenty billion, five hundred thirty-eight million, three hundred eighty-seven thousand, eighty-nine".