Search a number
-
+
523035661033 is a prime number
BaseRepresentation
bin1111001110001110101…
…10101101001011101001
31212000001020212112120101
413213013112231023221
532032134112123113
61040140153225401
752534211523064
oct7470726551351
91760036775511
10523035661033
111918aaaa4596
128544b702261
133a425714832
141b45a7558db
15d9131392dd
hex79c75ad2e9

523035661033 has 2 divisors, whose sum is σ = 523035661034. Its totient is φ = 523035661032.

The previous prime is 523035661009. The next prime is 523035661051. The reversal of 523035661033 is 330166530325.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 494471956969 + 28563704064 = 703187^2 + 169008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-523035661033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 523035660983 and 523035661001.

It is not a weakly prime, because it can be changed into another prime (523035641033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261517830516 + 261517830517.

It is an arithmetic number, because the mean of its divisors is an integer number (261517830517).

Almost surely, 2523035661033 is an apocalyptic number.

It is an amenable number.

523035661033 is a deficient number, since it is larger than the sum of its proper divisors (1).

523035661033 is an equidigital number, since it uses as much as digits as its factorization.

523035661033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145800, while the sum is 37.

The spelling of 523035661033 in words is "five hundred twenty-three billion, thirty-five million, six hundred sixty-one thousand, thirty-three".