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2576329001 is a prime number
BaseRepresentation
bin1001100110001111…
…1010100100101001
320122112211001222122
42121203322210221
520234020012001
61103351401025
7120562302161
oct23143724451
96575731878
102576329001
1111022a8124
125ba983175
133209a593c
141a623d5a1
151012a6b1b
hex998fa929

2576329001 has 2 divisors, whose sum is σ = 2576329002. Its totient is φ = 2576329000.

The previous prime is 2576328991. The next prime is 2576329003. The reversal of 2576329001 is 1009236752.

2576329001 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., 1823375401 + 752953600 = 42701^2 + 27440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2576329001 is a prime.

It is a super-2 number, since 2×25763290012 = 13274942242787316002, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 2576329003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2576329003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1288164500 + 1288164501.

It is an arithmetic number, because the mean of its divisors is an integer number (1288164501).

Almost surely, 22576329001 is an apocalyptic number.

It is an amenable number.

2576329001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2576329001 is an equidigital number, since it uses as much as digits as its factorization.

2576329001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 2576329001 is about 50757.5511722148. The cubic root of 2576329001 is about 1370.8831574487.

The spelling of 2576329001 in words is "two billion, five hundred seventy-six million, three hundred twenty-nine thousand, one".