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2452131361 = 23221532
BaseRepresentation
bin1001001000101000…
…1000111000100001
320022220010011212001
42102022020320201
520010221200421
61043153404001
7114523526011
oct22212107041
96286104761
102452131361
111049189649
12585269601
1330103c204
1419394dc41
15e5422691
hex92288e21

2452131361 has 9 divisors (see below), whose sum is σ = 2564572339. Its totient is φ = 2344427536.

The previous prime is 2452131343. The next prime is 2452131449. The reversal of 2452131361 is 1631312542.

The square root of 2452131361 is 49519.

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

It can be written as a sum of positive squares in only one way, i.e., 181037025 + 2271094336 = 13455^2 + 47656^2 .

It is not a de Polignac number, because 2452131361 - 27 = 2452131233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2452131061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1137861 + ... + 1140013.

Almost surely, 22452131361 is an apocalyptic number.

2452131361 is the 49519-th square number.

2452131361 is the 24760-th centered octagonal number.

It is an amenable number.

2452131361 is a deficient number, since it is larger than the sum of its proper divisors (112440978).

2452131361 is an frugal number, since it uses more digits than its factorization.

2452131361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 2176 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The cubic root of 2452131361 is about 1348.4905600151.

The spelling of 2452131361 in words is "two billion, four hundred fifty-two million, one hundred thirty-one thousand, three hundred sixty-one".

Divisors: 1 23 529 2153 49519 1138937 4635409 106614407 2452131361