1461523834225 has 81 divisors (see below), whose sum is σ = 2283674653827. Its totient is φ = 924748231680.

The previous prime is 1461523834219. The next prime is 1461523834343. The reversal of 1461523834225 is 5224383251641.

The square root of 1461523834225 is 1208935.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1232435242801 + 229088591424 = 1110151^2 + 478632^2 .

It is not a de Polignac number, because 1461523834225 - 2⁹ = 1461523833713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 550064097 + ... + 550066753.

Almost surely, 2^{1461523834225} is an apocalyptic number.

1461523834225 is the 1208935-th square number.

1461523834225 is the 604468-th centered octagonal number.

It is an amenable number.

1461523834225 is a deficient number, since it is larger than the sum of its proper divisors (822150819602).

1461523834225 is an frugal number, since it uses more digits than its factorization.

1461523834225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 2682 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 46.

The spelling of 1461523834225 in words is "one trillion, four hundred sixty-one billion, five hundred twenty-three million, eight hundred thirty-four thousand, two hundred twenty-five".