213561420 has 48 divisors (see below), whose sum is σ = 610702848. Its totient is φ = 55737280.

The previous prime is 213561419. The next prime is 213561421. The reversal of 213561420 is 24165312.

It is an interprime number because it is at equal distance from previous prime (213561419) and next prime (213561421).

It is a super-2 number, since 2×213561420² = 91216960224832800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213561421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35046 + ... + 40685.

It is an arithmetic number, because the mean of its divisors is an integer number (12722976).

Almost surely, 2^213561420 is an apocalyptic number.

213561420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213561420 is an abundant number, since it is smaller than the sum of its proper divisors (397141428).

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

213561420 is a wasteful number, since it uses less digits than its factorization.

213561420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75790 (or 75788 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 213561420 is about 14613.7407941978. The cubic root of 213561420 is about 597.7335046676.

The spelling of 213561420 in words is "two hundred thirteen million, five hundred sixty-one thousand, four hundred twenty".