37630180225 has 27 divisors (see below), whose sum is σ = 51303548611. Its totient is φ = 27359644400.

The previous prime is 37630180223. The next prime is 37630180243. The reversal of 37630180225 is 52208103673.

The square root of 37630180225 is 193985.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13546864881 + 24083315344 = 116391^2 + 155188^2 .

It is not a de Polignac number, because 37630180225 - 2¹ = 37630180223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37630180223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10667412 + ... + 10670938.

Almost surely, 2^37630180225 is an apocalyptic number.

37630180225 is the 193985-th square number.

37630180225 is the 96993-rd centered octagonal number.

It is an amenable number.

37630180225 is a deficient number, since it is larger than the sum of its proper divisors (13673368386).

37630180225 is an frugal number, since it uses more digits than its factorization.

37630180225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 37630180225 its reverse (52208103673), we get a palindrome (89838283898).

The spelling of 37630180225 in words is "thirty-seven billion, six hundred thirty million, one hundred eighty thousand, two hundred twenty-five".