10257435841 has 3 divisors (see below), whose sum is σ = 10257537121. Its totient is φ = 10257334562.

The previous prime is 10257435829. The next prime is 10257435857. The reversal of 10257435841 is 14853475201.

The square root of 10257435841 is 101279.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 14853475201 = 601 ⋅24714601.

It is not a de Polignac number, because 10257435841 - 2⁹ = 10257435329 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10257435794 and 10257435803.

It is not an unprimeable number, because it can be changed into a prime (10257435821) 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 2 ways as a sum of consecutive naturals, for example, 50640 + ... + 151918.

Almost surely, 2^10257435841 is an apocalyptic number.

10257435841 is the 101279-th square number.

10257435841 is the 50640-th centered octagonal number.

It is an amenable number.

10257435841 is a deficient number, since it is larger than the sum of its proper divisors (101280).

10257435841 is an frugal number, since it uses more digits than its factorization.

10257435841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202558 (or 101279 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 10257435841 in words is "ten billion, two hundred fifty-seven million, four hundred thirty-five thousand, eight hundred forty-one".