1001654683929 has 45 divisors (see below), whose sum is σ = 1522065509679. Its totient is φ = 656462445840.

The previous prime is 1001654683921. The next prime is 1001654683933. The reversal of 1001654683929 is 9293864561001.

The square root of 1001654683929 is 1000827.

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

1001654683929 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 546 + 8 + 3 + 92 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32571947529 + 969082736400 = 180477^2 + 984420^2 .

It is not a de Polignac number, because 1001654683929 - 2³ = 1001654683921 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1001654683921) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 549453112 + ... + 549454934.

Almost surely, 2^{1001654683929} is an apocalyptic number.

1001654683929 is the 1000827-th square number.

1001654683929 is the 500414-th centered octagonal number.

It is an amenable number.

1001654683929 is a deficient number, since it is larger than the sum of its proper divisors (520410825750).

1001654683929 is an frugal number, since it uses more digits than its factorization.

1001654683929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1001654683929 in words is "one trillion, one billion, six hundred fifty-four million, six hundred eighty-three thousand, nine hundred twenty-nine".