213494909446225 has 81 divisors (see below), whose sum is σ = 293711104645777. Its totient is φ = 153829503520000.

The previous prime is 213494909446193. The next prime is 213494909446333. The reversal of 213494909446225 is 522644909494312.

The square root of 213494909446225 is 14611465.

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

It can be written as a sum of positive squares in 4 ways, for example, as 108617729652289 + 104877179793936 = 10421983^2 + 10240956^2 .

It is not a de Polignac number, because 213494909446225 - 2⁵ = 213494909446193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 90810253800 + ... + 90810256150.

Almost surely, 2^{213494909446225} is an apocalyptic number.

213494909446225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213494909446225 is the 14611465-th square number.

213494909446225 is the 7305733-rd centered octagonal number.

It is an amenable number.

213494909446225 is a deficient number, since it is larger than the sum of its proper divisors (80216195199552).

213494909446225 is an frugal number, since it uses more digits than its factorization.

213494909446225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 64.

The spelling of 213494909446225 in words is "two hundred thirteen trillion, four hundred ninety-four billion, nine hundred nine million, four hundred forty-six thousand, two hundred twenty-five".