10661561061037 has 2 divisors, whose sum is σ = 10661561061038. Its totient is φ = 10661561061036.

The previous prime is 10661561061007. The next prime is 10661561061119. The reversal of 10661561061037 is 73016016516601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8569635631236 + 2091925429801 = 2927394^2 + 1446349^2 .

It is a cyclic number.

It is not a de Polignac number, because 10661561061037 - 2²³ = 10661552672429 is a prime.

It is a super-2 number, since 2×10661561061037² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10661561060984 and 10661561061002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10661561061007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5330780530518 + 5330780530519.

It is an arithmetic number, because the mean of its divisors is an integer number (5330780530519).

Almost surely, 2^{10661561061037} is an apocalyptic number.

It is an amenable number.

10661561061037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10661561061037 is an equidigital number, since it uses as much as digits as its factorization.

10661561061037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 43.

Adding to 10661561061037 its reverse (73016016516601), we get a palindrome (83677577577638).

The spelling of 10661561061037 in words is "ten trillion, six hundred sixty-one billion, five hundred sixty-one million, sixty-one thousand, thirty-seven".