206078801148025 has 243 divisors, whose sum is σ = 292872669525639. Its totient is φ = 143776787132160.

The previous prime is 206078801147987. The next prime is 206078801148049. The reversal of 206078801148025 is 520841108870602.

The square root of 206078801148025 is 14355445.

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 118926942161769 + 87151858986256 = 10905363^2 + 9335516^2 .

It is not a de Polignac number, because 206078801148025 - 2⁷ = 206078801147897 is a prime.

It is a super-2 number, since 2×206078801148025² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1622667725512 + ... + 1622667725638.

Almost surely, 2^{206078801148025} is an apocalyptic number.

206078801148025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

206078801148025 is the 14355445-th square number.

206078801148025 is the 7177723-rd centered octagonal number.

It is an amenable number.

206078801148025 is a deficient number, since it is larger than the sum of its proper divisors (86793868377614).

206078801148025 is an equidigital number, since it uses as much as digits as its factorization.

206078801148025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 52.

The spelling of 206078801148025 in words is "two hundred six trillion, seventy-eight billion, eight hundred one million, one hundred forty-eight thousand, twenty-five".