37980708516001 has 2 divisors, whose sum is σ = 37980708516002. Its totient is φ = 37980708516000.

The previous prime is 37980708515947. The next prime is 37980708516031. The reversal of 37980708516001 is 10061580708973.

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., 37197618030225 + 783090485776 = 6098985^2 + 884924^2 .

It is an emirp because it is prime and its reverse (10061580708973) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37980708516001 - 2⁷ = 37980708515873 is a prime.

It is not a weakly prime, because it can be changed into another prime (37980708516031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18990354258000 + 18990354258001.

It is an arithmetic number, because the mean of its divisors is an integer number (18990354258001).

Almost surely, 2^{37980708516001} is an apocalyptic number.

It is an amenable number.

37980708516001 is a deficient number, since it is larger than the sum of its proper divisors (1).

37980708516001 is an equidigital number, since it uses as much as digits as its factorization.

37980708516001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 37980708516001 in words is "thirty-seven trillion, nine hundred eighty billion, seven hundred eight million, five hundred sixteen thousand, one".