66489201025 has 27 divisors (see below), whose sum is σ = 89299016361. Its totient is φ = 49087340640.

The previous prime is 66489200977. The next prime is 66489201073. The reversal of 66489201025 is 52010298466.

The square root of 66489201025 is 257855.

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

It is an interprime number because it is at equal distance from previous prime (66489200977) and next prime (66489201073).

It can be written as a sum of positive squares in 4 ways, for example, as 17137689921 + 49351511104 = 130911^2 + 222152^2 .

It is not a de Polignac number, because 66489201025 - 2²³ = 66480812417 is a prime.

It is a super-2 number, since 2×66489201025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16758592 + ... + 16762558.

Almost surely, 2^66489201025 is an apocalyptic number.

66489201025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66489201025 is the 257855-th square number.

66489201025 is the 128928-th centered octagonal number.

It is an amenable number.

66489201025 is a deficient number, since it is larger than the sum of its proper divisors (22809815336).

66489201025 is an frugal number, since it uses more digits than its factorization.

66489201025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 66489201025 in words is "sixty-six billion, four hundred eighty-nine million, two hundred one thousand, twenty-five".