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61137689 is a prime number
BaseRepresentation
bin1110100100111…
…0001100011001
311021001010010212
43221032030121
5111122401224
610022220505
71341442664
oct351161431
9137033125
1061137689
1131568718
1218584735
13c887a62
1481966db
155579d0e
hex3a4e319

61137689 has 2 divisors, whose sum is σ = 61137690. Its totient is φ = 61137688.

The previous prime is 61137679. The next prime is 61137691. The reversal of 61137689 is 98673116.

61137689 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., 49632025 + 11505664 = 7045^2 + 3392^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61137689 is a prime.

Together with 61137691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (61137619) 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, 30568844 + 30568845.

It is an arithmetic number, because the mean of its divisors is an integer number (30568845).

Almost surely, 261137689 is an apocalyptic number.

It is an amenable number.

61137689 is a deficient number, since it is larger than the sum of its proper divisors (1).

61137689 is an equidigital number, since it uses as much as digits as its factorization.

61137689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 41.

The square root of 61137689 is about 7819.0593424017. The cubic root of 61137689 is about 393.9456773604.

The spelling of 61137689 in words is "sixty-one million, one hundred thirty-seven thousand, six hundred eighty-nine".