37060485121 has 45 divisors (see below), whose sum is σ = 42894878355. Its totient is φ = 32018429520.

The previous prime is 37060485113. The next prime is 37060485139. The reversal of 37060485121 is 12158406073.

The square root of 37060485121 is 192511.

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., 33162231025 + 3898254096 = 182105^2 + 62436^2 .

It is not a de Polignac number, because 37060485121 - 2³ = 37060485113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37060485101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 861871726 + ... + 861871768.

It is an arithmetic number, because the mean of its divisors is an integer number (953219519).

Almost surely, 2^37060485121 is an apocalyptic number.

37060485121 is the 192511-st square number.

37060485121 is the 96256-th centered octagonal number.

It is an amenable number.

37060485121 is a deficient number, since it is larger than the sum of its proper divisors (5834393234).

37060485121 is an frugal number, since it uses more digits than its factorization.

37060485121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 37060485121 in words is "thirty-seven billion, sixty million, four hundred eighty-five thousand, one hundred twenty-one".