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61653436457 is a prime number
BaseRepresentation
bin111001011010110101…
…001100100000101001
312220010201211002011112
4321122311030200221
52002231234431312
644153451040105
74311554364104
oct713265144051
9186121732145
1061653436457
1124168837378
12bb47740035
135a77182562
142dac2d773b
15190c9a9d22
hexe5ad4c829

61653436457 has 2 divisors, whose sum is σ = 61653436458. Its totient is φ = 61653436456.

The previous prime is 61653436409. The next prime is 61653436463. The reversal of 61653436457 is 75463435616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53577897961 + 8075538496 = 231469^2 + 89864^2 .

It is a cyclic number.

It is not a de Polignac number, because 61653436457 - 210 = 61653435433 is a prime.

It is a super-2 number, since 2×616534364572 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61653430457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30826718228 + 30826718229.

It is an arithmetic number, because the mean of its divisors is an integer number (30826718229).

Almost surely, 261653436457 is an apocalyptic number.

It is an amenable number.

61653436457 is a deficient number, since it is larger than the sum of its proper divisors (1).

61653436457 is an equidigital number, since it uses as much as digits as its factorization.

61653436457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5443200, while the sum is 50.

The spelling of 61653436457 in words is "sixty-one billion, six hundred fifty-three million, four hundred thirty-six thousand, four hundred fifty-seven".