213295261921 has 27 divisors (see below), whose sum is σ = 263640686457. Its totient is φ = 172025790720.

The previous prime is 213295261891. The next prime is 213295261937. The reversal of 213295261921 is 129162592312.

The square root of 213295261921 is 461839.

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 36612909025 + 176682352896 = 191345^2 + 420336^2 .

It is not a de Polignac number, because 213295261921 - 2¹³ = 213295253729 is a prime.

It is a super-2 number, since 2×213295261921² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213295261981) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54956901 + ... + 54960781.

Almost surely, 2^213295261921 is an apocalyptic number.

213295261921 is the 461839-th square number.

213295261921 is the 230920-th centered octagonal number.

It is an amenable number.

213295261921 is a deficient number, since it is larger than the sum of its proper divisors (50345424536).

213295261921 is an frugal number, since it uses more digits than its factorization.

213295261921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7810 (or 3905 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The spelling of 213295261921 in words is "two hundred thirteen billion, two hundred ninety-five million, two hundred sixty-one thousand, nine hundred twenty-one".