1009640712961 has 4 divisors (see below), whose sum is σ = 1009650970624. Its totient is φ = 1009630455300.

The previous prime is 1009640712943. The next prime is 1009640712979. The reversal of 1009640712961 is 1692170469001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (1009640712943) and next prime (1009640712979).

It is a cyclic number.

It is not a de Polignac number, because 1009640712961 - 2¹³ = 1009640704769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009640712911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4979745 + ... + 5178526.

It is an arithmetic number, because the mean of its divisors is an integer number (252412742656).

Almost surely, 2^{1009640712961} is an apocalyptic number.

It is an amenable number.

1009640712961 is a deficient number, since it is larger than the sum of its proper divisors (10257663).

1009640712961 is an equidigital number, since it uses as much as digits as its factorization.

1009640712961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10257662.

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 1009640712961 in words is "one trillion, nine billion, six hundred forty million, seven hundred twelve thousand, nine hundred sixty-one".