45432385526025 has 81 divisors (see below), whose sum is σ = 81825488221503. Its totient is φ = 24097038739200.

The previous prime is 45432385526023. The next prime is 45432385526069. The reversal of 45432385526025 is 52062558323454.

It is a happy number.

The square root of 45432385526025 is 6740355.

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

45432385526025 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 2 + 3 + 8 + 552 + 60 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1493941508361 + 43938444017664 = 1222269^2 + 6628608^2 .

It is not a de Polignac number, because 45432385526025 - 2¹ = 45432385526023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45432385526023) 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 80 ways as a sum of consecutive naturals, for example, 19917747885 + ... + 19917750165.

Almost surely, 2^{45432385526025} is an apocalyptic number.

45432385526025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45432385526025 is the 6740355-th square number.

45432385526025 is the 3370178-th centered octagonal number.

It is an amenable number.

45432385526025 is a deficient number, since it is larger than the sum of its proper divisors (36393102695478).

45432385526025 is an frugal number, since it uses more digits than its factorization.

45432385526025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 45432385526025 in words is "forty-five trillion, four hundred thirty-two billion, three hundred eighty-five million, five hundred twenty-six thousand, twenty-five".