81452589201 has 45 divisors (see below), whose sum is σ = 128494136331. Its totient is φ = 51412917456.

The previous prime is 81452589199. The next prime is 81452589241. The reversal of 81452589201 is 10298525418.

The square root of 81452589201 is 285399.

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

81452589201 is a `hidden beast` number, since 8 + 1 + 45 + 2 + 589 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43450985601 + 38001603600 = 208449^2 + 194940^2 .

It is not a de Polignac number, because 81452589201 - 2¹ = 81452589199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81452589241) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48802395 + ... + 48804063.

Almost surely, 2^81452589201 is an apocalyptic number.

81452589201 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

81452589201 is the 285399-th square number.

81452589201 is the 142700-th centered octagonal number.

It is an amenable number.

81452589201 is a deficient number, since it is larger than the sum of its proper divisors (47041547130).

81452589201 is an frugal number, since it uses more digits than its factorization.

81452589201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 81452589201 in words is "eighty-one billion, four hundred fifty-two million, five hundred eighty-nine thousand, two hundred one".