10206256456351 has 8 divisors (see below), whose sum is σ = 10215834650000. Its totient is φ = 10196680515840.

The previous prime is 10206256456343. The next prime is 10206256456391. The reversal of 10206256456351 is 15365465260201.

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 10206256456351 - 2³ = 10206256456343 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 (10206256456301) 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, 8569936 + ... + 9687946.

It is an arithmetic number, because the mean of its divisors is an integer number (1276979331250).

Almost surely, 2^{10206256456351} is an apocalyptic number.

10206256456351 is a deficient number, since it is larger than the sum of its proper divisors (9578193649).

10206256456351 is a wasteful number, since it uses less digits than its factorization.

10206256456351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126569.

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 10206256456351 in words is "ten trillion, two hundred six billion, two hundred fifty-six million, four hundred fifty-six thousand, three hundred fifty-one".