43488514521 has 135 divisors (see below), whose sum is σ = 73025318509. Its totient is φ = 25785430272.

The previous prime is 43488514507. The next prime is 43488514523. The reversal of 43488514521 is 12541588434.

The square root of 43488514521 is 208539.

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

43488514521 is a `hidden beast` number, since 4 + 3 + 4 + 88 + 514 + 52 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4298769225 + 39189745296 = 65565^2 + 197964^2 .

It is not a de Polignac number, because 43488514521 - 2²⁵ = 43454960089 is a prime.

It is a Duffinian number.

Its product of digits (614400) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (43488514523) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 925287520 + ... + 925287566.

Almost surely, 2^43488514521 is an apocalyptic number.

43488514521 is the 208539-th square number.

43488514521 is the 104270-th centered octagonal number.

It is an amenable number.

43488514521 is a deficient number, since it is larger than the sum of its proper divisors (29536803988).

43488514521 is an equidigital number, since it uses as much as digits as its factorization.

43488514521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 96 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

It can be divided in two parts, 43488 and 514521, that added together give a square (558009 = 747²).

The spelling of 43488514521 in words is "forty-three billion, four hundred eighty-eight million, five hundred fourteen thousand, five hundred twenty-one".