201451061889 has 243 divisors, whose sum is σ = 391171344291. Its totient is φ = 99533206080.

The previous prime is 201451061879. The next prime is 201451061891. The reversal of 201451061889 is 988160154102.

It is a happy number.

The square root of 201451061889 is 448833.

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

201451061889 is a `hidden beast` number, since 2 + 0 + 14 + 5 + 10 + 618 + 8 + 9 = 666.

201451061889 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., 105636050289 + 95815011600 = 325017^2 + 309540^2 .

It is not a de Polignac number, because 201451061889 - 2²¹ = 201448964737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201451061879) 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 242 ways as a sum of consecutive naturals, for example, 3006732234 + ... + 3006732300.

Almost surely, 2^201451061889 is an apocalyptic number.

201451061889 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

201451061889 is the 448833-rd square number.

201451061889 is the 224417-th centered octagonal number.

It is an amenable number.

201451061889 is a deficient number, since it is larger than the sum of its proper divisors (189720282402).

201451061889 is a wasteful number, since it uses less digits than its factorization.

201451061889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 201451061889 in words is "two hundred one billion, four hundred fifty-one million, sixty-one thousand, eight hundred eighty-nine".