213305232053225 has 24 divisors (see below), whose sum is σ = 287365273325592. Its totient is φ = 156123747763200.

The previous prime is 213305232053191. The next prime is 213305232053261. The reversal of 213305232053225 is 522350232503312.

It can be written as a sum of positive squares in 12 ways, for example, as 166496208962281 + 46809023090944 = 12903341^2 + 6841712^2 .

It is not a de Polignac number, because 213305232053225 - 2⁶ = 213305232053161 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2904050846 + ... + 2904124295.

It is an arithmetic number, because the mean of its divisors is an integer number (11973553055233).

Almost surely, 2^{213305232053225} is an apocalyptic number.

213305232053225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213305232053225 is a deficient number, since it is larger than the sum of its proper divisors (74060041272367).

213305232053225 is a wasteful number, since it uses less digits than its factorization.

213305232053225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5808175277 (or 5808175272 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 38.

Adding to 213305232053225 its reverse (522350232503312), we get a palindrome (735655464556537).

The spelling of 213305232053225 in words is "two hundred thirteen trillion, three hundred five billion, two hundred thirty-two million, fifty-three thousand, two hundred twenty-five".