8011145025 has 243 divisors, whose sum is σ = 17139193851. Its totient is φ = 3711951360.

The previous prime is 8011145017. The next prime is 8011145041. The reversal of 8011145025 is 5205411108.

The square root of 8011145025 is 89505.

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

8011145025 is a `hidden beast` number, since 80 + 111 + 450 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5834362689 + 2176782336 = 76383^2 + 46656^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 8011145025 - 2³ = 8011145017 is a prime.

It is a super-2 number, since 2×8011145025² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 8011145025.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 471243817 + ... + 471243833.

Almost surely, 2^8011145025 is an apocalyptic number.

8011145025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8011145025 is the 89505-th square number.

8011145025 is the 44753-rd centered octagonal number.

It is an amenable number.

8011145025 is an abundant number, since it is smaller than the sum of its proper divisors (9128048826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8011145025 is an equidigital number, since it uses as much as digits as its factorization.

8011145025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The cubic root of 8011145025 is about 2000.9283211266.

Multiplying 8011145025 by its product of nonzero digits (1600), we get a square (12817832040000 = 3580200²).

The spelling of 8011145025 in words is "eight billion, eleven million, one hundred forty-five thousand, twenty-five".