9002959256957 has 8 divisors (see below), whose sum is σ = 9544549658112. Its totient is φ = 8477067128400.

The previous prime is 9002959256947. The next prime is 9002959256969. The reversal of 9002959256957 is 7596529592009.

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 9002959256957 - 2¹⁴ = 9002959240573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9002959256947) 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, 3924566969 + ... + 3924569262.

It is an arithmetic number, because the mean of its divisors is an integer number (1193068707264).

Almost surely, 2^{9002959256957} is an apocalyptic number.

It is an amenable number.

9002959256957 is a deficient number, since it is larger than the sum of its proper divisors (541590401155).

9002959256957 is a wasteful number, since it uses less digits than its factorization.

9002959256957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849136299.

The product of its (nonzero) digits is 137781000, while the sum is 68.

The spelling of 9002959256957 in words is "nine trillion, two billion, nine hundred fifty-nine million, two hundred fifty-six thousand, nine hundred fifty-seven".