213325061600 has 288 divisors, whose sum is σ = 617656467456. Its totient is φ = 70402867200.

The previous prime is 213325061563. The next prime is 213325061611. The reversal of 213325061600 is 6160523312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33501617 + ... + 33507983.

It is an arithmetic number, because the mean of its divisors is an integer number (2144640512).

Almost surely, 2^213325061600 is an apocalyptic number.

213325061600 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 213325061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308828233728).

213325061600 is an abundant number, since it is smaller than the sum of its proper divisors (404331405856).

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

213325061600 is a wasteful number, since it uses less digits than its factorization.

213325061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6618 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 213325061600 its reverse (6160523312), we get a palindrome (219485584912).

The spelling of 213325061600 in words is "two hundred thirteen billion, three hundred twenty-five million, sixty-one thousand, six hundred".