1006632962721 has 45 divisors (see below), whose sum is σ = 1541873761923. Its totient is φ = 654479831520.

The previous prime is 1006632962677. The next prime is 1006632962723. The reversal of 1006632962721 is 1272692366001.

The square root of 1006632962721 is 1003311.

It is a perfect power (a square), and thus also a powerful number.

1006632962721 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 632 + 9 + 6 + 2 + 7 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48505217121 + 958127745600 = 220239^2 + 978840^2 .

It is not a de Polignac number, because 1006632962721 - 2¹³ = 1006632954529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006632962723) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 370220400 + ... + 370223118.

Almost surely, 2^{1006632962721} is an apocalyptic number.

1006632962721 is the 1003311-st square number.

1006632962721 is the 501656-th centered octagonal number.

It is an amenable number.

1006632962721 is a deficient number, since it is larger than the sum of its proper divisors (535240799202).

1006632962721 is an frugal number, since it uses more digits than its factorization.

1006632962721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5532 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1006632962721 in words is "one trillion, six billion, six hundred thirty-two million, nine hundred sixty-two thousand, seven hundred twenty-one".