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51200761 is a prime number
BaseRepresentation
bin1100001101010…
…0001011111001
310120100021020111
43003110023321
5101101411021
65025224321
71161125233
oct303241371
9116307214
1051200761
11269a0987
12151920a1
13a7b8b11
146b2b253
1547658e1
hex30d42f9

51200761 has 2 divisors, whose sum is σ = 51200762. Its totient is φ = 51200760.

The previous prime is 51200749. The next prime is 51200803. The reversal of 51200761 is 16700215.

51200761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51036736 + 164025 = 7144^2 + 405^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-51200761 is a prime.

It is not a weakly prime, because it can be changed into another prime (51200741) 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, 25600380 + 25600381.

It is an arithmetic number, because the mean of its divisors is an integer number (25600381).

Almost surely, 251200761 is an apocalyptic number.

It is an amenable number.

51200761 is a deficient number, since it is larger than the sum of its proper divisors (1).

51200761 is an equidigital number, since it uses as much as digits as its factorization.

51200761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 51200761 is about 7155.4707042933. The cubic root of 51200761 is about 371.3289463930.

Adding to 51200761 its reverse (16700215), we get a palindrome (67900976).

The spelling of 51200761 in words is "fifty-one million, two hundred thousand, seven hundred sixty-one".