Search a number
-
+
53531957 is a prime number
BaseRepresentation
bin1100110000110…
…1010100110101
310201201201001002
43030031110311
5102201010312
65151213045
71220004563
oct314152465
9121651032
1053531957
1128243396
1215b17185
13b123c1b
147176a33
154a764c2
hex330d535

53531957 has 2 divisors, whose sum is σ = 53531958. Its totient is φ = 53531956.

The previous prime is 53531893. The next prime is 53531977. The reversal of 53531957 is 75913535.

53531957 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., 50822641 + 2709316 = 7129^2 + 1646^2 .

It is a cyclic number.

It is not a de Polignac number, because 53531957 - 26 = 53531893 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53531957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53531977) 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, 26765978 + 26765979.

It is an arithmetic number, because the mean of its divisors is an integer number (26765979).

Almost surely, 253531957 is an apocalyptic number.

It is an amenable number.

53531957 is a deficient number, since it is larger than the sum of its proper divisors (1).

53531957 is an equidigital number, since it uses as much as digits as its factorization.

53531957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70875, while the sum is 38.

The square root of 53531957 is about 7316.5536285877. The cubic root of 53531957 is about 376.8811127354.

The spelling of 53531957 in words is "fifty-three million, five hundred thirty-one thousand, nine hundred fifty-seven".