10251430512641 has 8 divisors (see below), whose sum is σ = 10854511844904. Its totient is φ = 9648355403520.

The previous prime is 10251430512623. The next prime is 10251430512649. The reversal of 10251430512641 is 14621503415201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2984653588225 + 7266776924416 = 1727615^2 + 2695696^2 .

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 10251430512641 - 2¹⁸ = 10251430250497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10251430512649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2078291 + ... + 4982183.

It is an arithmetic number, because the mean of its divisors is an integer number (1356813980613).

Almost surely, 2^{10251430512641} is an apocalyptic number.

It is an amenable number.

10251430512641 is a deficient number, since it is larger than the sum of its proper divisors (603081332263).

10251430512641 is a wasteful number, since it uses less digits than its factorization.

10251430512641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111571.

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 10251430512641 its reverse (14621503415201), we get a palindrome (24872933927842).

The spelling of 10251430512641 in words is "ten trillion, two hundred fifty-one billion, four hundred thirty million, five hundred twelve thousand, six hundred forty-one".