37081279225 has 27 divisors (see below), whose sum is σ = 48552150927. Its totient is φ = 28089841680.

The previous prime is 37081279153. The next prime is 37081279237. The reversal of 37081279225 is 52297218073.

The square root of 37081279225 is 192565.

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., 13349260521 + 23732018704 = 115539^2 + 154052^2 .

It is not a de Polignac number, because 37081279225 - 2³¹ = 34933795577 is a prime.

It is a Duffinian number.

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, 18292662 + ... + 18294688.

Almost surely, 2^37081279225 is an apocalyptic number.

37081279225 is the 192565-th square number.

37081279225 is the 96283-rd centered octagonal number.

It is an amenable number.

37081279225 is a deficient number, since it is larger than the sum of its proper divisors (11470871702).

37081279225 is an frugal number, since it uses more digits than its factorization.

37081279225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 37081279225 in words is "thirty-seven billion, eighty-one million, two hundred seventy-nine thousand, two hundred twenty-five".