213251514600 has 48 divisors (see below), whose sum is σ = 661079697120. Its totient is φ = 56867070400.

The previous prime is 213251514583. The next prime is 213251514601. The reversal of 213251514600 is 6415152312.

213251514600 is digitally balanced in base 2, because in such base 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 (30).

It is not an unprimeable number, because it can be changed into a prime (213251514601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177708996 + ... + 177710195.

It is an arithmetic number, because the mean of its divisors is an integer number (13772493690).

Almost surely, 2^213251514600 is an apocalyptic number.

213251514600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213251514600 is an abundant number, since it is smaller than the sum of its proper divisors (447828182520).

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

213251514600 is a wasteful number, since it uses less digits than its factorization.

213251514600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355419210 (or 355419201 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 213251514600 its reverse (6415152312), we get a palindrome (219666666912).

The spelling of 213251514600 in words is "two hundred thirteen billion, two hundred fifty-one million, five hundred fourteen thousand, six hundred".