37105500601061 has 2 divisors, whose sum is σ = 37105500601062. Its totient is φ = 37105500601060.

The previous prime is 37105500601049. The next prime is 37105500601109. The reversal of 37105500601061 is 16010600550173.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25955203890625 + 11150296710436 = 5094625^2 + 3339206^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37105500601061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37105500607061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18552750300530 + 18552750300531.

It is an arithmetic number, because the mean of its divisors is an integer number (18552750300531).

Almost surely, 2^{37105500601061} is an apocalyptic number.

It is an amenable number.

37105500601061 is a deficient number, since it is larger than the sum of its proper divisors (1).

37105500601061 is an equidigital number, since it uses as much as digits as its factorization.

37105500601061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 35.

The spelling of 37105500601061 in words is "thirty-seven trillion, one hundred five billion, five hundred million, six hundred one thousand, sixty-one".