5419765585521 has 75 divisors (see below), whose sum is σ = 9446786042441. Its totient is φ = 3096422240184.

The previous prime is 5419765585463. The next prime is 5419765585523. The reversal of 5419765585521 is 1255855679145.

The square root of 5419765585521 is 2328039.

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

5419765585521 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 7 + 6 + 558 + 55 + 21 = 666.

It is not a de Polignac number, because 5419765585521 - 2¹⁷ = 5419765454449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5419765585523) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1026662560 + ... + 1026667838.

Almost surely, 2^{5419765585521} is an apocalyptic number.

5419765585521 is the 2328039-th square number.

5419765585521 is the 1164020-th centered octagonal number.

It is an amenable number.

5419765585521 is a deficient number, since it is larger than the sum of its proper divisors (4027020456920).

5419765585521 is an frugal number, since it uses more digits than its factorization.

5419765585521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 5289 counting only the distinct ones).

The product of its digits is 75600000, while the sum is 63.

The spelling of 5419765585521 in words is "five trillion, four hundred nineteen billion, seven hundred sixty-five million, five hundred eighty-five thousand, five hundred twenty-one".