213563025 has 36 divisors (see below), whose sum is σ = 411944988. Its totient is φ = 105137280.

The previous prime is 213563011. The next prime is 213563071. The reversal of 213563025 is 520365312.

213563025 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 630 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6548481 + 207014544 = 2559^2 + 14388^2 .

It is not a de Polignac number, because 213563025 - 2¹⁶ = 213497489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213563025.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33582 + ... + 39431.

Almost surely, 2^213563025 is an apocalyptic number.

213563025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213563025 is a deficient number, since it is larger than the sum of its proper divisors (198381963).

213563025 is a wasteful number, since it uses less digits than its factorization.

213563025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73042 (or 73034 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 213563025 is about 14613.7957081656. The cubic root of 213563025 is about 597.7350020665.

The spelling of 213563025 in words is "two hundred thirteen million, five hundred sixty-three thousand, twenty-five".