5641218765625 has 21 divisors (see below), whose sum is σ = 7051804325593. Its totient is φ = 4512737500000.

The previous prime is 5641218765571. The next prime is 5641218765631. The reversal of 5641218765625 is 5265678121465.

The square root of 5641218765625 is 2375125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 2691742266409 + 2949476499216 = 1640653^2 + 1717404^2 .

It is not a de Polignac number, because 5641218765625 - 2²¹ = 5641216668473 is a prime.

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 5641218765625.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 296881125 + ... + 296900125.

Almost surely, 2^{5641218765625} is an apocalyptic number.

5641218765625 is the 2375125-th square number.

5641218765625 is the 1187563-rd centered octagonal number.

It is an amenable number.

5641218765625 is a deficient number, since it is larger than the sum of its proper divisors (1410585559968).

5641218765625 is an frugal number, since it uses more digits than its factorization.

5641218765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38032 (or 19006 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 58.

The spelling of 5641218765625 in words is "five trillion, six hundred forty-one billion, two hundred eighteen million, seven hundred sixty-five thousand, six hundred twenty-five".