37121036625 has 24 divisors (see below), whose sum is σ = 66916857384. Its totient is φ = 19797885600.

The previous prime is 37121036609. The next prime is 37121036627. The reversal of 37121036625 is 52663012173.

37121036625 is a `hidden beast` number, since 3 + 7 + 1 + 21 + 0 + 3 + 6 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 37119031569 = 1416^2 + 192663^2 .

It is not a de Polignac number, because 37121036625 - 2⁴ = 37121036609 is a prime.

It is a super-2 number, since 2×37121036625² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37121036625.

It is not an unprimeable number, because it can be changed into a prime (37121036627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16497114 + ... + 16499363.

It is an arithmetic number, because the mean of its divisors is an integer number (2788202391).

Almost surely, 2^37121036625 is an apocalyptic number.

It is an amenable number.

37121036625 is a deficient number, since it is larger than the sum of its proper divisors (29795820759).

37121036625 is a wasteful number, since it uses less digits than its factorization.

37121036625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32996498 (or 32996485 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 37121036625 its reverse (52663012173), we get a palindrome (89784048798).

The spelling of 37121036625 in words is "thirty-seven billion, one hundred twenty-one million, thirty-six thousand, six hundred twenty-five".