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1072205261 is a prime number
BaseRepresentation
bin111111111010001…
…000110111001101
32202201112200002222
4333322020313031
54143441032021
6254221025125
735366410601
oct7772106715
92681480088
101072205261
11500260756
1225b0b51a5
1314119b6aa
14a2585501
15641e56ab
hex3fe88dcd

1072205261 has 2 divisors, whose sum is σ = 1072205262. Its totient is φ = 1072205260.

The previous prime is 1072205231. The next prime is 1072205269. The reversal of 1072205261 is 1625022701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1022784361 + 49420900 = 31981^2 + 7030^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1072205261 is a prime.

It is a super-2 number, since 2×10722052612 = 2299248243432156242, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1072205261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1072205269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 536102630 + 536102631.

It is an arithmetic number, because the mean of its divisors is an integer number (536102631).

Almost surely, 21072205261 is an apocalyptic number.

It is an amenable number.

1072205261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072205261 is an equidigital number, since it uses as much as digits as its factorization.

1072205261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1072205261 is about 32744.5455152457. The cubic root of 1072205261 is about 1023.5113065903.

Adding to 1072205261 its reverse (1625022701), we get a palindrome (2697227962).

The spelling of 1072205261 in words is "one billion, seventy-two million, two hundred five thousand, two hundred sixty-one".