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61478051329 is a prime number
BaseRepresentation
bin111001010000011000…
…001001111000000001
312212200111210121000001
4321100120021320001
52001401340120304
644124224000001
74304324546152
oct712030117001
9185614717001
1061478051329
1124088836992
12bab8a60001
135a49a36086
142d92cc1929
1518ec3b3da4
hexe50609e01

61478051329 has 2 divisors, whose sum is σ = 61478051330. Its totient is φ = 61478051328.

The previous prime is 61478051311. The next prime is 61478051333. The reversal of 61478051329 is 92315087416.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36883970704 + 24594080625 = 192052^2 + 156825^2 .

It is a cyclic number.

It is not a de Polignac number, because 61478051329 - 227 = 61343833601 is a prime.

It is a super-2 number, since 2×614780513292 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61478051339) 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, 30739025664 + 30739025665.

It is an arithmetic number, because the mean of its divisors is an integer number (30739025665).

It is a 1-persistent number, because it is pandigital, but 2⋅61478051329 = 122956102658 is not.

Almost surely, 261478051329 is an apocalyptic number.

It is an amenable number.

61478051329 is a deficient number, since it is larger than the sum of its proper divisors (1).

61478051329 is an equidigital number, since it uses as much as digits as its factorization.

61478051329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 61478051329 in words is "sixty-one billion, four hundred seventy-eight million, fifty-one thousand, three hundred twenty-nine".