213883125625 has 45 divisors (see below), whose sum is σ = 289612449819. Its totient is φ = 157833468000.

The previous prime is 213883125509. The next prime is 213883125637. The reversal of 213883125625 is 526521388312.

The square root of 213883125625 is 462475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 211258817641 + 2624307984 = 459629^2 + 51228^2 .

It is a de Polignac number, because none of the positive numbers 2^k-213883125625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 150303664 + ... + 150305086.

Almost surely, 2^213883125625 is an apocalyptic number.

213883125625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213883125625 is the 462475-th square number.

213883125625 is the 231238-th centered octagonal number.

It is an amenable number.

213883125625 is a deficient number, since it is larger than the sum of its proper divisors (75729324194).

213883125625 is an frugal number, since it uses more digits than its factorization.

213883125625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 1441 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The spelling of 213883125625 in words is "two hundred thirteen billion, eight hundred eighty-three million, one hundred twenty-five thousand, six hundred twenty-five".