37625879807981 has 2 divisors, whose sum is σ = 37625879807982. Its totient is φ = 37625879807980.

The previous prime is 37625879807969. The next prime is 37625879808059. The reversal of 37625879807981 is 18970897852673.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35424042276100 + 2201837531881 = 5951810^2 + 1483859^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37625879807981 is a prime.

It is a super-2 number, since 2×37625879807981² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37625879807896 and 37625879807905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37625879807921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18812939903990 + 18812939903991.

It is an arithmetic number, because the mean of its divisors is an integer number (18812939903991).

Almost surely, 2^{37625879807981} is an apocalyptic number.

It is an amenable number.

37625879807981 is a deficient number, since it is larger than the sum of its proper divisors (1).

37625879807981 is an equidigital number, since it uses as much as digits as its factorization.

37625879807981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2560481280, while the sum is 80.

The spelling of 37625879807981 in words is "thirty-seven trillion, six hundred twenty-five billion, eight hundred seventy-nine million, eight hundred seven thousand, nine hundred eighty-one".