213285101584 has 45 divisors (see below), whose sum is σ = 415764179103. Its totient is φ = 105995067936.

The previous prime is 213285101573. The next prime is 213285101591. The reversal of 213285101584 is 485101582312.

The square root of 213285101584 is 461828.

It is a perfect power (a square), and thus also a powerful number.

It is a super-4 number, since 4×213285101584⁴ (a number of 46 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 485842837 + ... + 485843275.

Almost surely, 2^213285101584 is an apocalyptic number.

213285101584 is the 461828-th square number.

It is an amenable number.

213285101584 is a deficient number, since it is larger than the sum of its proper divisors (202479077519).

213285101584 is an frugal number, since it uses more digits than its factorization.

213285101584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

Adding to 213285101584 its reverse (485101582312), we get a palindrome (698386683896).

The spelling of 213285101584 in words is "two hundred thirteen billion, two hundred eighty-five million, one hundred one thousand, five hundred eighty-four".