217052325 has 96 divisors (see below), whose sum is σ = 462827520. Its totient is φ = 97675200.

The previous prime is 217052299. The next prime is 217052351. The reversal of 217052325 is 523250712.

It is an interprime number because it is at equal distance from previous prime (217052299) and next prime (217052351).

It is not a de Polignac number, because 217052325 - 2¹⁰ = 217051301 is a prime.

It is a super-2 number, since 2×217052325² = 94223423575811250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 335152 + ... + 335798.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2^217052325 is an apocalyptic number.

217052325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

217052325 is an abundant number, since it is smaller than the sum of its proper divisors (245775195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

217052325 is a wasteful number, since it uses less digits than its factorization.

217052325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 217052325 is about 14732.6957818316. The cubic root of 217052325 is about 600.9727969245.

The spelling of 217052325 in words is "two hundred seventeen million, fifty-two thousand, three hundred twenty-five".