1948237065953 has 2 divisors, whose sum is σ = 1948237065954. Its totient is φ = 1948237065952.

The previous prime is 1948237065937. The next prime is 1948237065961. The reversal of 1948237065953 is 3595607328491.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1773603342289 + 174633723664 = 1331767^2 + 417892^2 .

It is a cyclic number.

It is not a de Polignac number, because 1948237065953 - 2⁴ = 1948237065937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1948237065353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 974118532976 + 974118532977.

It is an arithmetic number, because the mean of its divisors is an integer number (974118532977).

It is a 1-persistent number, because it is pandigital, but 2⋅1948237065953 = 3896474131906 is not.

Almost surely, 2^{1948237065953} is an apocalyptic number.

It is an amenable number.

1948237065953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1948237065953 is an equidigital number, since it uses as much as digits as its factorization.

1948237065953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48988800, while the sum is 62.

The spelling of 1948237065953 in words is "one trillion, nine hundred forty-eight billion, two hundred thirty-seven million, sixty-five thousand, nine hundred fifty-three".