Search a number
-
+
61377319 is a prime number
BaseRepresentation
bin1110101000100…
…0101100100111
311021111021212001
43222020230213
5111203033234
610031310131
71343461423
oct352105447
9137437761
1061377319
1131711763
121867b347
13c93cb53
148219b83
1555c5d14
hex3a88b27

61377319 has 2 divisors, whose sum is σ = 61377320. Its totient is φ = 61377318.

The previous prime is 61377313. The next prime is 61377331. The reversal of 61377319 is 91377316.

61377319 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61377319 is a prime.

It is a super-2 number, since 2×613773192 = 7534350575255522, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61377313) 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, 30688659 + 30688660.

It is an arithmetic number, because the mean of its divisors is an integer number (30688660).

Almost surely, 261377319 is an apocalyptic number.

61377319 is a deficient number, since it is larger than the sum of its proper divisors (1).

61377319 is an equidigital number, since it uses as much as digits as its factorization.

61377319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23814, while the sum is 37.

The square root of 61377319 is about 7834.3678111255. The cubic root of 61377319 is about 394.4596981795.

It can be divided in two parts, 6137 and 7319, that added together give a square (13456 = 1162).

The spelling of 61377319 in words is "sixty-one million, three hundred seventy-seven thousand, three hundred nineteen".