213051000 has 128 divisors (see below), whose sum is σ = 679311360. Its totient is φ = 55568000.

The previous prime is 213050993. The next prime is 213051019. The reversal of 213051000 is 150312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140245 + ... + 141755.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^213051000 is an apocalyptic number.

213051000 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 213051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

213051000 is an abundant number, since it is smaller than the sum of its proper divisors (466260360).

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

213051000 is a wasteful number, since it uses less digits than its factorization.

213051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 213051000 is about 14596.2666459612. The cubic root of 213051000 is about 597.2569227679.

The spelling of 213051000 in words is "two hundred thirteen million, fifty-one thousand".