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513922401 = 36893
BaseRepresentation
bin11110101000011…
…101010101100001
31022211000222000000
4132220131111201
52023031004101
6122555050213
715510161016
oct3650352541
91284028000
10513922401
11244106563
12124140969
138261b0c5
144c37b70d
15301b8486
hex1ea1d561

513922401 has 28 divisors (see below), whose sum is σ = 779287140. Its totient is φ = 338765328.

The previous prime is 513922379. The next prime is 513922403. The reversal of 513922401 is 104229315.

The cubic root of 513922401 is 801.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 508277025 = 2376^2 + 22545^2 .

It is not a de Polignac number, because 513922401 - 213 = 513914209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (513922403) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5774365 + ... + 5774453.

Almost surely, 2513922401 is an apocalyptic number.

It is an amenable number.

513922401 is a deficient number, since it is larger than the sum of its proper divisors (265364739).

513922401 is an frugal number, since it uses more digits than its factorization.

513922401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 513922401 is about 22669.8566603320.

Multiplying 513922401 by its sum of digits (27), we get a cube (13875904827 = 24033).

513922401 divided by its sum of digits (27) gives a cube (19034163 = 2673).

The spelling of 513922401 in words is "five hundred thirteen million, nine hundred twenty-two thousand, four hundred one".

Divisors: 1 3 9 27 81 89 243 267 729 801 2403 7209 7921 21627 23763 64881 71289 213867 641601 704969 1924803 2114907 5774409 6344721 19034163 57102489 171307467 513922401