37122077798521 has 9 divisors (see below), whose sum is σ = 37154599099149. Its totient is φ = 37089584954784.

The previous prime is 37122077798513. The next prime is 37122077798563. The reversal of 37122077798521 is 12589777022173.

The square root of 37122077798521 is 6092789.

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 658595548521 + 36463482250000 = 811539^2 + 6038500^2 .

It is not a de Polignac number, because 37122077798521 - 2³ = 37122077798513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37122077798521.

It is not an unprimeable number, because it can be changed into a prime (37122077792521) 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, 10095749535 + ... + 10095753211.

Almost surely, 2^{37122077798521} is an apocalyptic number.

37122077798521 is the 6092789-th square number.

37122077798521 is the 3046395-th centered octagonal number.

It is an amenable number.

37122077798521 is a deficient number, since it is larger than the sum of its proper divisors (32521300628).

37122077798521 is an frugal number, since it uses more digits than its factorization.

37122077798521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10668 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 61.

The spelling of 37122077798521 in words is "thirty-seven trillion, one hundred twenty-two billion, seventy-seven million, seven hundred ninety-eight thousand, five hundred twenty-one".