10288742751 has 24 divisors (see below), whose sum is σ = 17114258304. Its totient is φ = 5834396880.

The previous prime is 10288742747. The next prime is 10288742767. The reversal of 10288742751 is 15724788201.

It is not a de Polignac number, because 10288742751 - 2² = 10288742747 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10288742697 and 10288742706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10288742791) 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, 615081 + ... + 631586.

It is an arithmetic number, because the mean of its divisors is an integer number (713094096).

Almost surely, 2^10288742751 is an apocalyptic number.

10288742751 is a deficient number, since it is larger than the sum of its proper divisors (6825515553).

10288742751 is a wasteful number, since it uses less digits than its factorization.

10288742751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246811 (or 1246808 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 10288742751 in words is "ten billion, two hundred eighty-eight million, seven hundred forty-two thousand, seven hundred fifty-one".