970957978385 has 8 divisors (see below), whose sum is σ = 1165399795176. Its totient is φ = 776599568640.

The previous prime is 970957978381. The next prime is 970957978387. The reversal of 970957978385 is 583879759079.

It is a Cunningham number, because it is equal to 985372²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 116769824656 + 854188153729 = 341716^2 + 924223^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 970957978385 - 2² = 970957978381 is a prime.

It is a super-3 number, since 3×970957978385³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (970957978381) 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, 20826146 + ... + 20872715.

It is an arithmetic number, because the mean of its divisors is an integer number (145674974397).

Almost surely, 2^970957978385 is an apocalyptic number.

It is an amenable number.

970957978385 is a deficient number, since it is larger than the sum of its proper divisors (194441816791).

970957978385 is a wasteful number, since it uses less digits than its factorization.

970957978385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41703523.

The product of its (nonzero) digits is 1200225600, while the sum is 77.

The spelling of 970957978385 in words is "nine hundred seventy billion, nine hundred fifty-seven million, nine hundred seventy-eight thousand, three hundred eighty-five".