66037125500329 has 81 divisors (see below), whose sum is σ = 73279201132303. Its totient is φ = 59497686476800.

The previous prime is 66037125500309. The next prime is 66037125500369. The reversal of 66037125500329 is 92300552173066.

The square root of 66037125500329 is 8126323.

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 63803750675625 + 2233374824704 = 7987725^2 + 1494448^2 .

It is a de Polignac number, because none of the positive numbers 2^k-66037125500329 is a prime.

It is a super-3 number, since 3×66037125500329³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66037125500309) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 504100194594 + ... + 504100194724.

Almost surely, 2^{66037125500329} is an apocalyptic number.

66037125500329 is the 8126323-rd square number.

66037125500329 is the 4063162-nd centered octagonal number.

It is an amenable number.

66037125500329 is a deficient number, since it is larger than the sum of its proper divisors (7242075631974).

66037125500329 is an frugal number, since it uses more digits than its factorization.

66037125500329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 49.

The spelling of 66037125500329 in words is "sixty-six trillion, thirty-seven billion, one hundred twenty-five million, five hundred thousand, three hundred twenty-nine".