213517980 has 108 divisors (see below), whose sum is σ = 701424360. Its totient is φ = 52550784.

The previous prime is 213517979. The next prime is 213518003. The reversal of 213517980 is 89715312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26911 + ... + 33929.

It is an arithmetic number, because the mean of its divisors is an integer number (6494670).

Almost surely, 2^213517980 is an apocalyptic number.

213517980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213517980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350712180).

213517980 is an abundant number, since it is smaller than the sum of its proper divisors (487906380).

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

213517980 is a wasteful number, since it uses less digits than its factorization.

213517980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 213517980 is about 14612.2544461832. The cubic root of 213517980 is about 597.6929740884.

The spelling of 213517980 in words is "two hundred thirteen million, five hundred seventeen thousand, nine hundred eighty".