1290066627721 has 9 divisors (see below), whose sum is σ = 1294510368711. Its totient is φ = 1285638100632.

The previous prime is 1290066627709. The next prime is 1290066627737. The reversal of 1290066627721 is 1277266600921.

It is a happy number.

The square root of 1290066627721 is 1135811.

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., 72213125625 + 1217853502096 = 268725^2 + 1103564^2 .

It is not a de Polignac number, because 1290066627721 - 2¹⁵ = 1290066594953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1290066327721) 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, 360050296 + ... + 360053878.

Almost surely, 2^{1290066627721} is an apocalyptic number.

1290066627721 is the 1135811-st square number.

1290066627721 is the 567906-th centered octagonal number.

It is an amenable number.

1290066627721 is a deficient number, since it is larger than the sum of its proper divisors (4443740990).

1290066627721 is an frugal number, since it uses more digits than its factorization.

1290066627721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 1290066627721 by its sum of digits (49), we get a square (63213264758329 = 7950677²).

The spelling of 1290066627721 in words is "one trillion, two hundred ninety billion, sixty-six million, six hundred twenty-seven thousand, seven hundred twenty-one".