37368345521953 has 2 divisors, whose sum is σ = 37368345521954. Its totient is φ = 37368345521952.

The previous prime is 37368345521879. The next prime is 37368345522019. The reversal of 37368345521953 is 35912554386373.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28767100069009 + 8601245452944 = 5363497^2 + 2932788^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37368345521953 is a prime.

It is not a weakly prime, because it can be changed into another prime (37368349521953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18684172760976 + 18684172760977.

It is an arithmetic number, because the mean of its divisors is an integer number (18684172760977).

Almost surely, 2^{37368345521953} is an apocalyptic number.

It is an amenable number.

37368345521953 is a deficient number, since it is larger than the sum of its proper divisors (1).

37368345521953 is an equidigital number, since it uses as much as digits as its factorization.

37368345521953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 244944000, while the sum is 64.

The spelling of 37368345521953 in words is "thirty-seven trillion, three hundred sixty-eight billion, three hundred forty-five million, five hundred twenty-one thousand, nine hundred fifty-three".