27142233001 has 81 divisors (see below), whose sum is σ = 33582989349. Its totient is φ = 21920842944.

The previous prime is 27142232989. The next prime is 27142233017. The reversal of 27142233001 is 10033224172.

It is a happy number.

The square root of 27142233001 is 164749.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3480410025 + 23661822976 = 58995^2 + 153824^2 .

It is not a de Polignac number, because 27142233001 - 2⁹ = 27142232489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27142233061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 935939055 + ... + 935939083.

Almost surely, 2^27142233001 is an apocalyptic number.

27142233001 is the 164749-th square number.

27142233001 is the 82375-th centered octagonal number.

It is an amenable number.

27142233001 is a deficient number, since it is larger than the sum of its proper divisors (6440756348).

27142233001 is a wasteful number, since it uses less digits than its factorization.

27142233001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

Multiplying 27142233001 by its sum of digits (25), we get a square (678555825025 = 823745²).

Adding to 27142233001 its reverse (10033224172), we get a palindrome (37175457173).

The spelling of 27142233001 in words is "twenty-seven billion, one hundred forty-two million, two hundred thirty-three thousand, one".