10216407257 has 8 divisors (see below), whose sum is σ = 11717153856. Its totient is φ = 8725975632.

The previous prime is 10216407211. The next prime is 10216407301. The reversal of 10216407257 is 75270461201.

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 10216407257 - 2¹⁶ = 10216341721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10216407557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2576618 + ... + 2580579.

It is an arithmetic number, because the mean of its divisors is an integer number (1464644232).

Almost surely, 2^10216407257 is an apocalyptic number.

It is an amenable number.

10216407257 is a deficient number, since it is larger than the sum of its proper divisors (1500746599).

10216407257 is an equidigital number, since it uses as much as digits as its factorization.

10216407257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157487.

The product of its (nonzero) digits is 23520, while the sum is 35.

Adding to 10216407257 its reverse (75270461201), we get a palindrome (85486868458).

The spelling of 10216407257 in words is "ten billion, two hundred sixteen million, four hundred seven thousand, two hundred fifty-seven".