1009904841 has 63 divisors (see below), whose sum is σ = 1680029533. Its totient is φ = 606343320.

The previous prime is 1009904813. The next prime is 1009904851. The reversal of 1009904841 is 1484099001.

The square root of 1009904841 is 31779.

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

It is not a de Polignac number, because 1009904841 - 2⁵ = 1009904809 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1009904796 and 1009904805.

It is not an unprimeable number, because it can be changed into a prime (1009904801) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9438310 + ... + 9438416.

Almost surely, 2^1009904841 is an apocalyptic number.

1009904841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1009904841 is the 31779-th square number.

1009904841 is the 15890-th centered octagonal number.

It is an amenable number.

1009904841 is a deficient number, since it is larger than the sum of its proper divisors (670124692).

1009904841 is an frugal number, since it uses more digits than its factorization.

1009904841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The cubic root of 1009904841 is about 1003.2907726035.

Multiplying 1009904841 by its sum of digits (36), we get a square (36356574276 = 190674²).

The spelling of 1009904841 in words is "one billion, nine million, nine hundred four thousand, eight hundred forty-one".