1028214252081 has 27 divisors (see below), whose sum is σ = 1492772443851. Its totient is φ = 681998117184.

The previous prime is 1028214252053. The next prime is 1028214252127. The reversal of 1028214252081 is 1802524128201.

It is a happy number.

The square root of 1028214252081 is 1014009.

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

1028214252081 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 21 + 425 + 208 + 1 = 666.

1028214252081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 220157085681 + 808057166400 = 469209^2 + 898920^2 .

It is not a de Polignac number, because 1028214252081 - 2⁹ = 1028214251569 is a prime.

It is a super-3 number, since 3×1028214252081³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1028214252181) 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, 690539385 + ... + 690540873.

Almost surely, 2^{1028214252081} is an apocalyptic number.

1028214252081 is the 1014009-th square number.

1028214252081 is the 507005-th centered octagonal number.

It is an amenable number.

1028214252081 is a deficient number, since it is larger than the sum of its proper divisors (464558191770).

1028214252081 is an frugal number, since it uses more digits than its factorization.

1028214252081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Multiplying 1028214252081 by its sum of digits (36), we get a square (37015713074916 = 6084054²).

The spelling of 1028214252081 in words is "one trillion, twenty-eight billion, two hundred fourteen million, two hundred fifty-two thousand, eighty-one".