1002964193361 has 27 divisors (see below), whose sum is σ = 1568799959259. Its totient is φ = 617184698832.

The previous prime is 1002964193353. The next prime is 1002964193459. The reversal of 1002964193361 is 1633914692001.

The square root of 1002964193361 is 1001481.

It is a perfect power (a square), and thus also a powerful number.

1002964193361 is a `hidden beast` number, since 10 + 0 + 2 + 96 + 4 + 193 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148367484225 + 854596709136 = 385185^2 + 924444^2 .

It is not a de Polignac number, because 1002964193361 - 2³ = 1002964193353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002964193351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39044920 + ... + 39070598.

Almost surely, 2^{1002964193361} is an apocalyptic number.

1002964193361 is the 1001481-st square number.

1002964193361 is the 500741-st centered octagonal number.

It is an amenable number.

1002964193361 is a deficient number, since it is larger than the sum of its proper divisors (565835765898).

1002964193361 is an frugal number, since it uses more digits than its factorization.

1002964193361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51390 (or 25695 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 1002964193361 in words is "one trillion, two billion, nine hundred sixty-four million, one hundred ninety-three thousand, three hundred sixty-one".