213076406404 has 27 divisors (see below), whose sum is σ = 375645590607. Its totient is φ = 105754864608.

The previous prime is 213076406401. The next prime is 213076406407. The reversal of 213076406404 is 404604670312.

The square root of 213076406404 is 461602.

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

It is an interprime number because it is at equal distance from previous prime (213076406401) and next prime (213076406407).

It can be written as a sum of positive squares in 4 ways, for example, as 68067766404 + 145008640000 = 260898^2 + 380800^2 .

It is a super-2 number, since 2×213076406404² (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 (213076406401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 137556622 + ... + 137558170.

Almost surely, 2^213076406404 is an apocalyptic number.

213076406404 is the 461602-nd square number.

It is an amenable number.

213076406404 is a deficient number, since it is larger than the sum of its proper divisors (162569184203).

213076406404 is an frugal number, since it uses more digits than its factorization.

213076406404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 213076406404 in words is "two hundred thirteen billion, seventy-six million, four hundred six thousand, four hundred four".