37966052753 has 2 divisors, whose sum is σ = 37966052754. Its totient is φ = 37966052752.

The previous prime is 37966052731. The next prime is 37966052777. The reversal of 37966052753 is 35725066973.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29669029009 + 8297023744 = 172247^2 + 91088^2 .

It is a cyclic number.

It is not a de Polignac number, because 37966052753 - 2¹⁰ = 37966051729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 37966052695 and 37966052704.

It is not a weakly prime, because it can be changed into another prime (37966052713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18983026376 + 18983026377.

It is an arithmetic number, because the mean of its divisors is an integer number (18983026377).

Almost surely, 2^37966052753 is an apocalyptic number.

It is an amenable number.

37966052753 is a deficient number, since it is larger than the sum of its proper divisors (1).

37966052753 is an equidigital number, since it uses as much as digits as its factorization.

37966052753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7144200, while the sum is 53.

The spelling of 37966052753 in words is "thirty-seven billion, nine hundred sixty-six million, fifty-two thousand, seven hundred fifty-three".