213153024 has 144 divisors (see below), whose sum is σ = 669777920. Its totient is φ = 58890240.

The previous prime is 213153013. The next prime is 213153133. The reversal of 213153024 is 420351312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 166017 + ... + 167295.

Almost surely, 2^213153024 is an apocalyptic number.

213153024 is a gapful number since it is divisible by the number (24) 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 213153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334888960).

213153024 is an abundant number, since it is smaller than the sum of its proper divisors (456624896).

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

213153024 is a wasteful number, since it uses less digits than its factorization.

213153024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 213153024 is about 14599.7610939357. The cubic root of 213153024 is about 597.3522439450.

It can be divided in two parts, 2131 and 53024, that added together give a palindrome (55155).

The spelling of 213153024 in words is "two hundred thirteen million, one hundred fifty-three thousand, twenty-four".