218980125 has 256 divisors, whose sum is σ = 536739840. Its totient is φ = 85536000.

The previous prime is 218980109. The next prime is 218980141. The reversal of 218980125 is 521089812.

It is an interprime number because it is at equal distance from previous prime (218980109) and next prime (218980141).

It is not a de Polignac number, because 218980125 - 2⁴ = 218980109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 218980125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7063860 + ... + 7063890.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2^218980125 is an apocalyptic number.

218980125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

218980125 is an abundant number, since it is smaller than the sum of its proper divisors (317759715).

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

218980125 is a wasteful number, since it uses less digits than its factorization.

218980125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 218980125 is about 14797.9770576927. The cubic root of 218980125 is about 602.7467811335.

The spelling of 218980125 in words is "two hundred eighteen million, nine hundred eighty thousand, one hundred twenty-five".