5118141553561 has 27 divisors (see below), whose sum is σ = 5253201600573. Its totient is φ = 4986539496960.

The previous prime is 5118141553543. The next prime is 5118141553597. The reversal of 5118141553561 is 1653551418115.

It is a happy number.

The square root of 5118141553561 is 2262331.

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 84149307225 + 5033992246336 = 290085^2 + 2243656^2 .

It is not a de Polignac number, because 5118141553561 - 2¹⁷ = 5118141422489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5118141553061) 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, 18214026741 + ... + 18214027021.

Almost surely, 2^{5118141553561} is an apocalyptic number.

5118141553561 is the 2262331-st square number.

5118141553561 is the 1131166-th centered octagonal number.

It is an amenable number.

5118141553561 is a deficient number, since it is larger than the sum of its proper divisors (135060047012).

5118141553561 is an frugal number, since it uses more digits than its factorization.

5118141553561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 461 counting only the distinct ones).

The product of its digits is 360000, while the sum is 46.

The spelling of 5118141553561 in words is "five trillion, one hundred eighteen billion, one hundred forty-one million, five hundred fifty-three thousand, five hundred sixty-one".