66373527530025 has 243 divisors, whose sum is σ = 129466250511429. Its totient is φ = 32498297879040.

The previous prime is 66373527529993. The next prime is 66373527530029. The reversal of 66373527530025 is 52003572537366.

It is a happy number.

The square root of 66373527530025 is 8146995.

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

66373527530025 is a `hidden beast` number, since 6 + 6 + 37 + 3 + 52 + 7 + 530 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1552543412121 + 64820984117904 = 1246011^2 + 8051148^2 .

It is not a de Polignac number, because 66373527530025 - 2⁵ = 66373527529993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66373527530029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 89331799804 + ... + 89331800546.

Almost surely, 2^{66373527530025} is an apocalyptic number.

66373527530025 is the 8146995-th square number.

66373527530025 is the 4073498-th centered octagonal number.

It is an amenable number.

66373527530025 is a deficient number, since it is larger than the sum of its proper divisors (63092722981404).

66373527530025 is an equidigital number, since it uses as much as digits as its factorization.

66373527530025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 54.

The spelling of 66373527530025 in words is "sixty-six trillion, three hundred seventy-three billion, five hundred twenty-seven million, five hundred thirty thousand, twenty-five".