Search a number
-
+
2573634361 = 9725232
BaseRepresentation
bin1001100101100110…
…1000101100111001
320122100202011122011
42121121220230321
520232322244421
61103213525521
7120530350114
oct23131505471
96570664564
102573634361
111100827651
125b9aa38a1
1332027128c
141a5b3b57b
15100e234e1
hex99668b39

2573634361 has 9 divisors (see below), whose sum is σ = 2605421871. Its totient is φ = 2542231872.

The previous prime is 2573634359. The next prime is 2573634373. The reversal of 2573634361 is 1634363752.

The square root of 2573634361 is 50731.

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

2573634361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1155660025 + 1417974336 = 33995^2 + 37656^2 .

It is not a de Polignac number, because 2573634361 - 21 = 2573634359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2573634331) 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, 4920646 + ... + 4921168.

It is an arithmetic number, because the mean of its divisors is an integer number (289491319).

Almost surely, 22573634361 is an apocalyptic number.

2573634361 is the 50731-st square number.

2573634361 is the 25366-th centered octagonal number.

It is an amenable number.

2573634361 is a deficient number, since it is larger than the sum of its proper divisors (31787510).

2573634361 is an frugal number, since it uses more digits than its factorization.

2573634361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 620 counting only the distinct ones).

The product of its digits is 272160, while the sum is 40.

The cubic root of 2573634361 is about 1370.4050449573.

The spelling of 2573634361 in words is "two billion, five hundred seventy-three million, six hundred thirty-four thousand, three hundred sixty-one".

Divisors: 1 97 523 9409 50731 273529 4920907 26532313 2573634361