214755982248025 has 9 divisors (see below), whose sum is σ = 266297508845823. Its totient is φ = 171804727180200.

The previous prime is 214755982248007. The next prime is 214755982248047. The reversal of 214755982248025 is 520842289557412.

The square root of 214755982248025 is 14654555.

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

It can be written as a sum of positive squares in only one way, i.e., 77312153609289 + 137443828638736 = 8792733^2 + 11723644^2 .

It is not a de Polignac number, because 214755982248025 - 2⁵ = 214755982247993 is a prime.

It is a super-3 number, since 3×214755982248025³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71807320 + ... + 74738230.

Almost surely, 2^{214755982248025} is an apocalyptic number.

214755982248025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

214755982248025 is the 14654555-th square number.

214755982248025 is the 7327278-th centered octagonal number.

It is an amenable number.

214755982248025 is a deficient number, since it is larger than the sum of its proper divisors (51541526597798).

214755982248025 is an frugal number, since it uses more digits than its factorization.

214755982248025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861832 (or 2930916 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 64.

The spelling of 214755982248025 in words is "two hundred fourteen trillion, seven hundred fifty-five billion, nine hundred eighty-two million, two hundred forty-eight thousand, twenty-five".