37362790725121 has 9 divisors (see below), whose sum is σ = 38400120353091. Its totient is φ = 36352765519992.

The previous prime is 37362790725119. The next prime is 37362790725133. The reversal of 37362790725121 is 12152709726373.

The square root of 37362790725121 is 6112511.

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., 33432738231025 + 3930052494096 = 5782105^2 + 1982436^2 .

It is not a de Polignac number, because 37362790725121 - 2¹ = 37362790725119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37362790725151) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 226080306 + ... + 226245508.

Almost surely, 2^{37362790725121} is an apocalyptic number.

37362790725121 is the 6112511-st square number.

37362790725121 is the 3056256-th centered octagonal number.

It is an amenable number.

37362790725121 is a deficient number, since it is larger than the sum of its proper divisors (1037329627970).

37362790725121 is an frugal number, since it uses more digits than its factorization.

37362790725121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330480 (or 165240 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 55.

The spelling of 37362790725121 in words is "thirty-seven trillion, three hundred sixty-two billion, seven hundred ninety million, seven hundred twenty-five thousand, one hundred twenty-one".