13853054601 has 9 divisors (see below), whose sum is σ = 20010477799. Its totient is φ = 9235134336.

The previous prime is 13853054591. The next prime is 13853054627. The reversal of 13853054601 is 10645035831.

The square root of 13853054601 is 117699.

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

13853054601 is a `hidden beast` number, since 1 + 3 + 85 + 30 + 546 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 437855625 + 13415198976 = 20925^2 + 115824^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13853054601 - 2²⁵ = 13819500169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13853058601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 333481 + ... + 372713.

Almost surely, 2^13853054601 is an apocalyptic number.

13853054601 is the 117699-th square number.

13853054601 is the 58850-th centered octagonal number.

It is an amenable number.

13853054601 is a deficient number, since it is larger than the sum of its proper divisors (6157423198).

13853054601 is an frugal number, since it uses more digits than its factorization.

13853054601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78472 (or 39236 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 13853054601 by its sum of digits (36), we get a square (498709965636 = 706194²).

It can be divided in two parts, 138530 and 54601, that added together give a triangular number (193131 = T₆₂₁).

The spelling of 13853054601 in words is "thirteen billion, eight hundred fifty-three million, fifty-four thousand, six hundred one".