37991857225 has 27 divisors (see below), whose sum is σ = 54811157877. Its totient is φ = 26046881280.

The previous prime is 37991857181. The next prime is 37991857237. The reversal of 37991857225 is 52275819973.

It is a happy number.

The square root of 37991857225 is 194915.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8348659641 + 29643197584 = 91371^2 + 172172^2 .

It is not a de Polignac number, because 37991857225 - 2⁹ = 37991856713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37991857225.

It is an unprimeable number.

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, 6819241 + ... + 6824809.

Almost surely, 2^37991857225 is an apocalyptic number.

37991857225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

37991857225 is the 194915-th square number.

37991857225 is the 97458-th centered octagonal number.

It is an amenable number.

37991857225 is a deficient number, since it is larger than the sum of its proper divisors (16819300652).

37991857225 is an frugal number, since it uses more digits than its factorization.

37991857225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11162 (or 5581 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 58.

The spelling of 37991857225 in words is "thirty-seven billion, nine hundred ninety-one million, eight hundred fifty-seven thousand, two hundred twenty-five".