Search a number
-
+
53461777 is a prime number
BaseRepresentation
bin1100101111110…
…0001100010001
310201121010202211
43023330030101
5102141234102
65145512121
71216263145
oct313741421
9121533684
1053461777
11281a5696
1215aa2641
13b0cacb5
147159225
154a607d7
hex32fc311

53461777 has 2 divisors, whose sum is σ = 53461778. Its totient is φ = 53461776.

The previous prime is 53461757. The next prime is 53461783. The reversal of 53461777 is 77716435.

53461777 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., 45711121 + 7750656 = 6761^2 + 2784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53461777 is a prime.

It is not a weakly prime, because it can be changed into another prime (53461747) 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, 26730888 + 26730889.

It is an arithmetic number, because the mean of its divisors is an integer number (26730889).

Almost surely, 253461777 is an apocalyptic number.

It is an amenable number.

53461777 is a deficient number, since it is larger than the sum of its proper divisors (1).

53461777 is an equidigital number, since it uses as much as digits as its factorization.

53461777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 123480, while the sum is 40.

The square root of 53461777 is about 7311.7560818178. The cubic root of 53461777 is about 376.7163445933.

The spelling of 53461777 in words is "fifty-three million, four hundred sixty-one thousand, seven hundred seventy-seven".