17952663455953 has 2 divisors, whose sum is σ = 17952663455954. Its totient is φ = 17952663455952.

The previous prime is 17952663455933. The next prime is 17952663456041. The reversal of 17952663455953 is 35955436625971.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16250637939264 + 1702025516689 = 4031208^2 + 1304617^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-17952663455953 is a prime.

It is a super-2 number, since 2×17952663455953² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (17952663455933) 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, 8976331727976 + 8976331727977.

It is an arithmetic number, because the mean of its divisors is an integer number (8976331727977).

Almost surely, 2^{17952663455953} is an apocalyptic number.

It is an amenable number.

17952663455953 is a deficient number, since it is larger than the sum of its proper divisors (1).

17952663455953 is an equidigital number, since it uses as much as digits as its factorization.

17952663455953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 918540000, while the sum is 70.

The spelling of 17952663455953 in words is "seventeen trillion, nine hundred fifty-two billion, six hundred sixty-three million, four hundred fifty-five thousand, nine hundred fifty-three".