1002014931965 has 16 divisors (see below), whose sum is σ = 1214897961648. Its totient is φ = 793293060096.

The previous prime is 1002014931947. The next prime is 1002014931997. The reversal of 1002014931965 is 5691394102001.

It can be written as a sum of positive squares in 8 ways, for example, as 31699309849 + 970315622116 = 178043^2 + 985046^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002014931965 - 2¹⁴ = 1002014915581 is a prime.

It is a super-2 number, since 2×1002014931965² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7858259 + ... + 7984751.

It is an arithmetic number, because the mean of its divisors is an integer number (75931122603).

Almost surely, 2^{1002014931965} is an apocalyptic number.

It is an amenable number.

1002014931965 is a deficient number, since it is larger than the sum of its proper divisors (212883029683).

1002014931965 is a wasteful number, since it uses less digits than its factorization.

1002014931965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142928.

The product of its (nonzero) digits is 58320, while the sum is 41.

The spelling of 1002014931965 in words is "one trillion, two billion, fourteen million, nine hundred thirty-one thousand, nine hundred sixty-five".