10251140344353 has 24 divisors (see below), whose sum is σ = 14959072327680. Its totient is φ = 6764047533600.

The previous prime is 10251140344351. The next prime is 10251140344381. The reversal of 10251140344353 is 35344304115201.

10251140344353 is a `hidden beast` number, since 1 + 0 + 2 + 51 + 140 + 34 + 435 + 3 = 666.

It is not a de Polignac number, because 10251140344353 - 2¹ = 10251140344351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10251140344351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600928 + ... + 4567646.

It is an arithmetic number, because the mean of its divisors is an integer number (623294680320).

Almost surely, 2^{10251140344353} is an apocalyptic number.

It is an amenable number.

10251140344353 is a deficient number, since it is larger than the sum of its proper divisors (4707931983327).

10251140344353 is a wasteful number, since it uses less digits than its factorization.

10251140344353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969669 (or 3969666 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10251140344353 its reverse (35344304115201), we get a palindrome (45595444459554).

The spelling of 10251140344353 in words is "ten trillion, two hundred fifty-one billion, one hundred forty million, three hundred forty-four thousand, three hundred fifty-three".