1009557175341 has 32 divisors (see below), whose sum is σ = 1585348168320. Its totient is φ = 563378688000.

The previous prime is 1009557175327. The next prime is 1009557175379. The reversal of 1009557175341 is 1435717559001.

It is not a de Polignac number, because 1009557175341 - 2¹⁹ = 1009556651053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009557174341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2762236 + ... + 3106293.

It is an arithmetic number, because the mean of its divisors is an integer number (49542130260).

Almost surely, 2^{1009557175341} is an apocalyptic number.

1009557175341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1009557175341 is a deficient number, since it is larger than the sum of its proper divisors (575790992979).

1009557175341 is a wasteful number, since it uses less digits than its factorization.

1009557175341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868957.

The product of its (nonzero) digits is 661500, while the sum is 48.

The spelling of 1009557175341 in words is "one trillion, nine billion, five hundred fifty-seven million, one hundred seventy-five thousand, three hundred forty-one".