205361185491751 has 2 divisors, whose sum is σ = 205361185491752. Its totient is φ = 205361185491750.

The previous prime is 205361185491703. The next prime is 205361185491823. The reversal of 205361185491751 is 157194581163502.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 205361185491751 - 2¹¹ = 205361185489703 is a prime.

It is a super-2 number, since 2×205361185491751² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205361185491151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102680592745875 + 102680592745876.

It is an arithmetic number, because the mean of its divisors is an integer number (102680592745876).

It is a 1-persistent number, because it is pandigital, but 2⋅205361185491751 = 410722370983502 is not.

Almost surely, 2^{205361185491751} is an apocalyptic number.

205361185491751 is a deficient number, since it is larger than the sum of its proper divisors (1).

205361185491751 is an equidigital number, since it uses as much as digits as its factorization.

205361185491751 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072000, while the sum is 58.

The spelling of 205361185491751 in words is "two hundred five trillion, three hundred sixty-one billion, one hundred eighty-five million, four hundred ninety-one thousand, seven hundred fifty-one".