37210427001225 has 81 divisors (see below), whose sum is σ = 67938099632767. Its totient is φ = 19468578904320.

The previous prime is 37210427001191. The next prime is 37210427001247. The reversal of 37210427001225 is 52210072401273.

The square root of 37210427001225 is 6100035.

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

37210427001225 is a `hidden beast` number, since 3 + 7 + 2 + 1 + 0 + 427 + 0 + 0 + 1 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 10627410920841 + 26583016080384 = 3259971^2 + 5155872^2 .

It is not a de Polignac number, because 37210427001225 - 2⁹ = 37210427000713 is a prime.

It is a super-2 number, since 2×37210427001225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37210427001225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4849523989 + ... + 4849531661.

Almost surely, 2^{37210427001225} is an apocalyptic number.

37210427001225 is the 6100035-th square number.

37210427001225 is the 3050018-th centered octagonal number.

It is an amenable number.

37210427001225 is a deficient number, since it is larger than the sum of its proper divisors (30727672631542).

37210427001225 is an frugal number, since it uses more digits than its factorization.

37210427001225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15468 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 37210427001225 its reverse (52210072401273), we get a palindrome (89420499402498).

The spelling of 37210427001225 in words is "thirty-seven trillion, two hundred ten billion, four hundred twenty-seven million, one thousand, two hundred twenty-five".