197980518008025 has 45 divisors (see below), whose sum is σ = 366729529923471. Its totient is φ = 105589271910960.

The previous prime is 197980518008003. The next prime is 197980518008177. The reversal of 197980518008025 is 520800815089791.

The square root of 197980518008025 is 14070555.

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

197980518008025 is a `hidden beast` number, since 1 + 9 + 7 + 98 + 0 + 518 + 0 + 0 + 8 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71272986482889 + 126707531525136 = 8442333^2 + 11256444^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 197980518008025 - 2³⁷ = 197843079054553 is a prime.

It is a super-2 number, since 2×197980518008025² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 633018636 + ... + 633331314.

Almost surely, 2^{197980518008025} is an apocalyptic number.

197980518008025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

197980518008025 is the 14070555-th square number.

197980518008025 is the 7035278-th centered octagonal number.

It is an amenable number.

197980518008025 is a deficient number, since it is larger than the sum of its proper divisors (168749011915446).

197980518008025 is an frugal number, since it uses more digits than its factorization.

197980518008025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625380 (or 312687 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 63.

The spelling of 197980518008025 in words is "one hundred ninety-seven trillion, nine hundred eighty billion, five hundred eighteen million, eight thousand, twenty-five".