Search a number
-
+
2606264537 is a prime number
BaseRepresentation
bin1001101101011000…
…0111000011011001
320201122010221211012
42123112013003121
520314200431122
61110341143305
7121404611612
oct23326070331
96648127735
102606264537
111118194138
126089bab35
13326c57486
141aa1d2c09
15103c1b7e2
hex9b5870d9

2606264537 has 2 divisors, whose sum is σ = 2606264538. Its totient is φ = 2606264536.

The previous prime is 2606264483. The next prime is 2606264567. The reversal of 2606264537 is 7354626062.

2606264537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2363029321 + 243235216 = 48611^2 + 15596^2 .

It is a cyclic number.

It is not a de Polignac number, because 2606264537 - 218 = 2606002393 is a prime.

It is a super-2 number, since 2×26062645372 = 13585229673647648738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2606264494 and 2606264503.

It is not a weakly prime, because it can be changed into another prime (2606264567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1303132268 + 1303132269.

It is an arithmetic number, because the mean of its divisors is an integer number (1303132269).

Almost surely, 22606264537 is an apocalyptic number.

It is an amenable number.

2606264537 is a deficient number, since it is larger than the sum of its proper divisors (1).

2606264537 is an equidigital number, since it uses as much as digits as its factorization.

2606264537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 41.

The square root of 2606264537 is about 51051.5870174474. The cubic root of 2606264537 is about 1376.1723620238.

The spelling of 2606264537 in words is "two billion, six hundred six million, two hundred sixty-four thousand, five hundred thirty-seven".