8056213692409 has 9 divisors (see below), whose sum is σ = 8110350898671. Its totient is φ = 8002435531800.

The previous prime is 8056213692389. The next prime is 8056213692473. The reversal of 8056213692409 is 9042963126508.

The square root of 8056213692409 is 2838347.

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

It can be written as a sum of positive squares in only one way, i.e., 6678942453225 + 1377271239184 = 2584365^2 + 1173572^2 .

It is a de Polignac number, because none of the positive numbers 2^k-8056213692409 is a prime.

It is a super-3 number, since 3×8056213692409³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8056213692409.

It is not an unprimeable number, because it can be changed into a prime (8056213690409) 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, 428580999 + ... + 428599795.

Almost surely, 2^{8056213692409} is an apocalyptic number.

8056213692409 is the 2838347-th square number.

8056213692409 is the 1419174-th centered octagonal number.

It is an amenable number.

8056213692409 is a deficient number, since it is larger than the sum of its proper divisors (54137206262).

8056213692409 is an frugal number, since it uses more digits than its factorization.

8056213692409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37896 (or 18948 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 8056213692409 in words is "eight trillion, fifty-six billion, two hundred thirteen million, six hundred ninety-two thousand, four hundred nine".