37875688313 has 2 divisors, whose sum is σ = 37875688314. Its totient is φ = 37875688312.

The previous prime is 37875688289. The next prime is 37875688421. The reversal of 37875688313 is 31388657873.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37873830544 + 1857769 = 194612^2 + 1363^2 .

It is an emirp because it is prime and its reverse (31388657873) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37875688313 - 2¹⁴ = 37875671929 is a prime.

It is not a weakly prime, because it can be changed into another prime (37875681313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18937844156 + 18937844157.

It is an arithmetic number, because the mean of its divisors is an integer number (18937844157).

Almost surely, 2^37875688313 is an apocalyptic number.

It is an amenable number.

37875688313 is a deficient number, since it is larger than the sum of its proper divisors (1).

37875688313 is an equidigital number, since it uses as much as digits as its factorization.

37875688313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20321280, while the sum is 59.

The spelling of 37875688313 in words is "thirty-seven billion, eight hundred seventy-five million, six hundred eighty-eight thousand, three hundred thirteen".