37125010661 has 2 divisors, whose sum is σ = 37125010662. Its totient is φ = 37125010660.

The previous prime is 37125010627. The next prime is 37125010667. The reversal of 37125010661 is 16601052173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25987374436 + 11137636225 = 161206^2 + 105535^2 .

It is a cyclic number.

It is not a de Polignac number, because 37125010661 - 2¹⁰ = 37125009637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37125010667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18562505330 + 18562505331.

It is an arithmetic number, because the mean of its divisors is an integer number (18562505331).

Almost surely, 2^37125010661 is an apocalyptic number.

It is an amenable number.

37125010661 is a deficient number, since it is larger than the sum of its proper divisors (1).

37125010661 is an equidigital number, since it uses as much as digits as its factorization.

37125010661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 37125010661 in words is "thirty-seven billion, one hundred twenty-five million, ten thousand, six hundred sixty-one".