214503997862025 has 81 divisors (see below), whose sum is σ = 386855361149439. Its totient is φ = 113616991837440.

The previous prime is 214503997862003. The next prime is 214503997862029. The reversal of 214503997862025 is 520268799305412.

The square root of 214503997862025 is 14645955.

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

214503997862025 is a `hidden beast` number, since 2 + 1 + 4 + 503 + 9 + 9 + 7 + 86 + 20 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 214099257601161 + 404740260864 = 14632131^2 + 636192^2 .

It is not a de Polignac number, because 214503997862025 - 2⁷ = 214503997861897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214503997862029) 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, 32733706149 + ... + 32733712701.

It is a 1-persistent number, because it is pandigital, but 2⋅214503997862025 = 429007995724050 is not.

Almost surely, 2^{214503997862025} is an apocalyptic number.

214503997862025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

214503997862025 is the 14645955-th square number.

214503997862025 is the 7322978-th centered octagonal number.

It is an amenable number.

214503997862025 is a deficient number, since it is larger than the sum of its proper divisors (172351363287414).

214503997862025 is an frugal number, since it uses more digits than its factorization.

214503997862025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13420 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 214503997862025 in words is "two hundred fourteen trillion, five hundred three billion, nine hundred ninety-seven million, eight hundred sixty-two thousand, twenty-five".