217626667230625 has 135 divisors (see below), whose sum is σ = 292584239273997. Its totient is φ = 161787693312000.

The previous prime is 217626667230587. The next prime is 217626667230649. The reversal of 217626667230625 is 526032766626712.

It is a happy number.

The square root of 217626667230625 is 14752175.

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

It can be written as a sum of positive squares in 22 ways, for example, as 206533717580961 + 11092949649664 = 14371281^2 + 3330608^2 .

It is not a de Polignac number, because 217626667230625 - 2²³ = 217626658842017 is a prime.

It is a super-2 number, since 2×217626667230625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 645776460457 + ... + 645776460793.

Almost surely, 2^{217626667230625} is an apocalyptic number.

217626667230625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

217626667230625 is the 14752175-th square number.

217626667230625 is the 7376088-th centered octagonal number.

It is an amenable number.

217626667230625 is a deficient number, since it is larger than the sum of its proper divisors (74957572043372).

217626667230625 is an frugal number, since it uses more digits than its factorization.

217626667230625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 61.

The spelling of 217626667230625 in words is "two hundred seventeen trillion, six hundred twenty-six billion, six hundred sixty-seven million, two hundred thirty thousand, six hundred twenty-five".