1000963957201 has 8 divisors (see below), whose sum is σ = 1078008267560. Its totient is φ = 923926372992.

The previous prime is 1000963957187. The next prime is 1000963957223. The reversal of 1000963957201 is 1027593690001.

It can be written as a sum of positive squares in 4 ways, for example, as 150512961600 + 850450995601 = 387960^2 + 922199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000963957201 - 2¹⁹ = 1000963432913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000963957271) 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 7 ways as a sum of consecutive naturals, for example, 1370316 + ... + 1969693.

It is an arithmetic number, because the mean of its divisors is an integer number (134751033445).

Almost surely, 2^{1000963957201} is an apocalyptic number.

It is an amenable number.

1000963957201 is a deficient number, since it is larger than the sum of its proper divisors (77044310359).

1000963957201 is a wasteful number, since it uses less digits than its factorization.

1000963957201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363075.

The product of its (nonzero) digits is 102060, while the sum is 43.

The spelling of 1000963957201 in words is "one trillion, nine hundred sixty-three million, nine hundred fifty-seven thousand, two hundred one".