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2256556513 is a prime number
BaseRepresentation
bin1000011010000000…
…0101000111100001
312211021002221121011
42012200011013201
514110134302023
61011525500521
7106630261651
oct20640050741
95737087534
102256556513
11a58849342
1252b871741
1329c674153
141759a0361
15d318e50d
hex868051e1

2256556513 has 2 divisors, whose sum is σ = 2256556514. Its totient is φ = 2256556512.

The previous prime is 2256556487. The next prime is 2256556543. The reversal of 2256556513 is 3156556522.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1381757584 + 874798929 = 37172^2 + 29577^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256556513 - 225 = 2223002081 is a prime.

It is a super-3 number, since 3×22565565133 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2256556543) 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 as a sum of consecutive naturals, namely, 1128278256 + 1128278257.

It is an arithmetic number, because the mean of its divisors is an integer number (1128278257).

Almost surely, 22256556513 is an apocalyptic number.

It is an amenable number.

2256556513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256556513 is an equidigital number, since it uses as much as digits as its factorization.

2256556513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270000, while the sum is 40.

The square root of 2256556513 is about 47503.2263430601. The cubic root of 2256556513 is about 1311.6422720383.

Subtracting 2256556513 from its reverse (3156556522), we obtain a palindrome (900000009).

The spelling of 2256556513 in words is "two billion, two hundred fifty-six million, five hundred fifty-six thousand, five hundred thirteen".