10257097808309 has 16 divisors (see below), whose sum is σ = 11315777267520. Its totient is φ = 9219463440000.

The previous prime is 10257097808303. The next prime is 10257097808351. The reversal of 10257097808309 is 90380879075201.

It is a de Polignac number, because none of the positive numbers 2^k-10257097808309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257097808303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23644259 + ... + 24074159.

It is an arithmetic number, because the mean of its divisors is an integer number (707236079220).

Almost surely, 2^{10257097808309} is an apocalyptic number.

It is an amenable number.

10257097808309 is a deficient number, since it is larger than the sum of its proper divisors (1058679459211).

10257097808309 is a wasteful number, since it uses less digits than its factorization.

10257097808309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454372.

The product of its (nonzero) digits is 7620480, while the sum is 59.

The spelling of 10257097808309 in words is "ten trillion, two hundred fifty-seven billion, ninety-seven million, eight hundred eight thousand, three hundred nine".