5205840020161 has 27 divisors (see below), whose sum is σ = 5913544391937. Its totient is φ = 4579233417000.

The previous prime is 5205840020153. The next prime is 5205840020179. The reversal of 5205840020161 is 1610200485025.

It is a happy number.

The square root of 5205840020161 is 2281631.

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

It is not a de Polignac number, because 5205840020161 - 2³ = 5205840020153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5205840020861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 778032826 + ... + 778039516.

Almost surely, 2^{5205840020161} is an apocalyptic number.

5205840020161 is the 2281631-st square number.

5205840020161 is the 1140816-th centered octagonal number.

It is an amenable number.

5205840020161 is a deficient number, since it is larger than the sum of its proper divisors (707704371776).

5205840020161 is an frugal number, since it uses more digits than its factorization.

5205840020161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13466 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 5205840020161 in words is "five trillion, two hundred five billion, eight hundred forty million, twenty thousand, one hundred sixty-one".