210513000 has 128 divisors (see below), whose sum is σ = 671224320. Its totient is φ = 54905600.

The previous prime is 210512957. The next prime is 210513029. The reversal of 210513000 is 315012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140254 + ... + 141746.

It is an arithmetic number, because the mean of its divisors is an integer number (5243940).

Almost surely, 2^210513000 is an apocalyptic number.

210513000 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 210513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335612160).

210513000 is an abundant number, since it is smaller than the sum of its proper divisors (460711320).

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

210513000 is a wasteful number, since it uses less digits than its factorization.

210513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1550 counting only the distinct ones).

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

The square root of 210513000 is about 14509.0661312160. The cubic root of 210513000 is about 594.8758067652.

Adding to 210513000 its reverse (315012), we get a palindrome (210828012).

The spelling of 210513000 in words is "two hundred ten million, five hundred thirteen thousand".