52905980169 has 63 divisors (see below), whose sum is σ = 92349208407. Its totient is φ = 30207147264.

The previous prime is 52905980131. The next prime is 52905980243. The reversal of 52905980169 is 96108950925.

The square root of 52905980169 is 230013.

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

52905980169 is a `hidden beast` number, since 529 + 0 + 59 + 8 + 0 + 1 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17754230025 + 35151750144 = 133245^2 + 187488^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 52905980169 - 2²¹ = 52903883017 is a prime.

It is a super-2 number, since 2×52905980169² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (52905984169) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 43471849 + ... + 43473065.

Almost surely, 2^52905980169 is an apocalyptic number.

52905980169 is the 230013-rd square number.

52905980169 is the 115007-th centered octagonal number.

It is an amenable number.

52905980169 is a deficient number, since it is larger than the sum of its proper divisors (39443228238).

52905980169 is an frugal number, since it uses more digits than its factorization.

52905980169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 52905980169 in words is "fifty-two billion, nine hundred five million, nine hundred eighty thousand, one hundred sixty-nine".