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61623058037 is a prime number
BaseRepresentation
bin111001011001000001…
…010011111001110101
312220001121122200210212
4321121001103321311
52002201000324122
644150443555205
74311035231222
oct713101237165
9186047580725
1061623058037
1124152678642
12bb3952bb05
135a70aa7268
142da826a949
151909ea8ce2
hexe59053e75

61623058037 has 2 divisors, whose sum is σ = 61623058038. Its totient is φ = 61623058036.

The previous prime is 61623058033. The next prime is 61623058069. The reversal of 61623058037 is 73085032616.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61481186116 + 141871921 = 247954^2 + 11911^2 .

It is a cyclic number.

It is not a de Polignac number, because 61623058037 - 22 = 61623058033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61623057985 and 61623058003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61623058033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30811529018 + 30811529019.

It is an arithmetic number, because the mean of its divisors is an integer number (30811529019).

Almost surely, 261623058037 is an apocalyptic number.

It is an amenable number.

61623058037 is a deficient number, since it is larger than the sum of its proper divisors (1).

61623058037 is an equidigital number, since it uses as much as digits as its factorization.

61623058037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 61623058037 in words is "sixty-one billion, six hundred twenty-three million, fifty-eight thousand, thirty-seven".