8006953078337 has 8 divisors (see below), whose sum is σ = 8059625390376. Its totient is φ = 7954453180672.

The previous prime is 8006953078279. The next prime is 8006953078363. The reversal of 8006953078337 is 7338703596008.

It is a Cunningham number, because it is equal to 2829656²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 448198114576 + 7558754963761 = 669476^2 + 2749319^2 .

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 8006953078337 - 2²⁸ = 8006684642881 is a prime.

It is a super-2 number, since 2×8006953078337² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8006953678337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43010408 + ... + 43196169.

It is an arithmetic number, because the mean of its divisors is an integer number (1007453173797).

Almost surely, 2^{8006953078337} is an apocalyptic number.

It is an amenable number.

8006953078337 is a deficient number, since it is larger than the sum of its proper divisors (52672312039).

8006953078337 is a wasteful number, since it uses less digits than its factorization.

8006953078337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86207187.

The product of its (nonzero) digits is 22861440, while the sum is 59.

The spelling of 8006953078337 in words is "eight trillion, six billion, nine hundred fifty-three million, seventy-eight thousand, three hundred thirty-seven".