213051048 has 64 divisors (see below), whose sum is σ = 615600000. Its totient is φ = 60183552.

The previous prime is 213051031. The next prime is 213051061. The reversal of 213051048 is 840150312.

213051048 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7828 + ... + 22076.

It is an arithmetic number, because the mean of its divisors is an integer number (9618750).

Almost surely, 2^213051048 is an apocalyptic number.

213051048 is a gapful number since it is divisible by the number (28) 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 213051048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307800000).

213051048 is an abundant number, since it is smaller than the sum of its proper divisors (402548952).

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

213051048 is a wasteful number, since it uses less digits than its factorization.

213051048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14354 (or 14350 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 213051048 is about 14596.2682902172. The cubic root of 213051048 is about 597.2569676215.

The spelling of 213051048 in words is "two hundred thirteen million, fifty-one thousand, forty-eight".