217376542253025 has 81 divisors (see below), whose sum is σ = 390133416604971. Its totient is φ = 115700025991680.

The previous prime is 217376542252913. The next prime is 217376542253029. The reversal of 217376542253025 is 520352245673712.

The square root of 217376542253025 is 14743695.

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

217376542253025 is a `hidden beast` number, since 2 + 1 + 7 + 3 + 7 + 65 + 4 + 22 + 530 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 155056064526801 + 62320477726224 = 12452151^2 + 7894332^2 .

It is a de Polignac number, because none of the positive numbers 2^k-217376542253025 is a prime.

It is a super-2 number, since 2×217376542253025² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (217376542253029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 207222632701 + ... + 207222633749.

Almost surely, 2^{217376542253025} is an apocalyptic number.

217376542253025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

217376542253025 is the 14743695-th square number.

217376542253025 is the 7371848-th centered octagonal number.

It is an amenable number.

217376542253025 is a deficient number, since it is larger than the sum of its proper divisors (172756874351946).

217376542253025 is an frugal number, since it uses more digits than its factorization.

217376542253025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 217376542253025 in words is "two hundred seventeen trillion, three hundred seventy-six billion, five hundred forty-two million, two hundred fifty-three thousand, twenty-five".