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2575610641 is a prime number
BaseRepresentation
bin1001100110000100…
…1011001100010001
320122111110120120201
42121201023030101
520233324020031
61103324135201
7120553220632
oct23141131421
96574416521
102575610641
11110195743a
125ba697501
133207b3986
141a60d3889
151011b3d61
hex9984b311

2575610641 has 2 divisors, whose sum is σ = 2575610642. Its totient is φ = 2575610640.

The previous prime is 2575610617. The next prime is 2575610657. The reversal of 2575610641 is 1460165752.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2316400641 + 259210000 = 48129^2 + 16100^2 .

It is a cyclic number.

It is not a de Polignac number, because 2575610641 - 221 = 2573513489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2575610641.

It is not a weakly prime, because it can be changed into another prime (2575610941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1287805320 + 1287805321.

It is an arithmetic number, because the mean of its divisors is an integer number (1287805321).

Almost surely, 22575610641 is an apocalyptic number.

It is an amenable number.

2575610641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2575610641 is an equidigital number, since it uses as much as digits as its factorization.

2575610641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 2575610641 is about 50750.4742933502. The cubic root of 2575610641 is about 1370.7557307667.

The spelling of 2575610641 in words is "two billion, five hundred seventy-five million, six hundred ten thousand, six hundred forty-one".