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53780113 is a prime number
BaseRepresentation
bin1100110100100…
…1111010010001
310202012022110001
43031021322101
5102231430423
65200410001
71222060222
oct315117221
9122168401
1053780113
11283a2882
1216016901
13b1acb6a
1471dd249
154ac4cad
hex3349e91

53780113 has 2 divisors, whose sum is σ = 53780114. Its totient is φ = 53780112.

The previous prime is 53780087. The next prime is 53780117. The reversal of 53780113 is 31108735.

53780113 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., 50794129 + 2985984 = 7127^2 + 1728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53780113 is a prime.

It is not a weakly prime, because it can be changed into another prime (53780117) 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, 26890056 + 26890057.

It is an arithmetic number, because the mean of its divisors is an integer number (26890057).

Almost surely, 253780113 is an apocalyptic number.

It is an amenable number.

53780113 is a deficient number, since it is larger than the sum of its proper divisors (1).

53780113 is an equidigital number, since it uses as much as digits as its factorization.

53780113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 53780113 is about 7333.4925513019. The cubic root of 53780113 is about 377.4625795108.

Adding to 53780113 its reverse (31108735), we get a palindrome (84888848).

The spelling of 53780113 in words is "fifty-three million, seven hundred eighty thousand, one hundred thirteen".