532142543286225 has 135 divisors (see below), whose sum is σ = 995049712536033. Its totient is φ = 281145808042560.

The previous prime is 532142543286203. The next prime is 532142543286311. The reversal of 532142543286225 is 522682345241235.

The square root of 532142543286225 is 23068215.

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

532142543286225 is a `hidden beast` number, since 5 + 3 + 2 + 1 + 4 + 2 + 5 + 4 + 3 + 2 + 8 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1951025097681 + 530191518188544 = 1396791^2 + 23025888^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 532142543286225 - 2⁴³ = 523346450264017 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 113149592224 + ... + 113149596926.

Almost surely, 2^{532142543286225} is an apocalyptic number.

532142543286225 is the 23068215-th square number.

532142543286225 is the 11534108-th centered octagonal number.

It is an amenable number.

532142543286225 is a deficient number, since it is larger than the sum of its proper divisors (462907169249808).

532142543286225 is an frugal number, since it uses more digits than its factorization.

532142543286225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646 (or 4820 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 54.

The spelling of 532142543286225 in words is "five hundred thirty-two trillion, one hundred forty-two billion, five hundred forty-three million, two hundred eighty-six thousand, two hundred twenty-five".