1009610609601 has 16 divisors (see below), whose sum is σ = 1468544940288. Its totient is φ = 611876710800.

The previous prime is 1009610609587. The next prime is 1009610609617. The reversal of 1009610609601 is 1069060169001.

It is not a de Polignac number, because 1009610609601 - 2¹⁰ = 1009610608577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1009610609601.

It is not an unprimeable number, because it can be changed into a prime (1009610609201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2858970 + ... + 3192636.

It is an arithmetic number, because the mean of its divisors is an integer number (91784058768).

Almost surely, 2^{1009610609601} is an apocalyptic number.

1009610609601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1009610609601 is a deficient number, since it is larger than the sum of its proper divisors (458934330687).

1009610609601 is a wasteful number, since it uses less digits than its factorization.

1009610609601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425372.

The product of its (nonzero) digits is 17496, while the sum is 39.

The spelling of 1009610609601 in words is "one trillion, nine billion, six hundred ten million, six hundred nine thousand, six hundred one".