213679685025 has 27 divisors (see below), whose sum is σ = 382736477721. Its totient is φ = 113958800640.

The previous prime is 213679684973. The next prime is 213679685053. The reversal of 213679685025 is 520586976312.

The square root of 213679685025 is 462255.

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

213679685025 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 79 + 68 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94082679441 + 119597005584 = 306729^2 + 345828^2 .

It is not a de Polignac number, because 213679685025 - 2³⁵ = 179319946657 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6918417 + ... + 6949233.

Almost surely, 2^213679685025 is an apocalyptic number.

213679685025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213679685025 is the 462255-th square number.

213679685025 is the 231128-th centered octagonal number.

It is an amenable number.

213679685025 is a deficient number, since it is larger than the sum of its proper divisors (169056792696).

213679685025 is an frugal number, since it uses more digits than its factorization.

213679685025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61650 (or 30825 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

It can be divided in two parts, 213679 and 685025, that added together give a square (898704 = 948²).

The spelling of 213679685025 in words is "two hundred thirteen billion, six hundred seventy-nine million, six hundred eighty-five thousand, twenty-five".