10258053127 has 12 divisors (see below), whose sum is σ = 12560882520. Its totient is φ = 8329846896.

The previous prime is 10258053019. The next prime is 10258053131. The reversal of 10258053127 is 72135085201.

10258053127 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10258053127 - 2⁷ = 10258052999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10258053092 and 10258053101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10258053167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5508228 + ... + 5510089.

It is an arithmetic number, because the mean of its divisors is an integer number (1046740210).

Almost surely, 2^10258053127 is an apocalyptic number.

10258053127 is a deficient number, since it is larger than the sum of its proper divisors (2302829393).

10258053127 is a wasteful number, since it uses less digits than its factorization.

10258053127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11018350 (or 11018343 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 10258053127 in words is "ten billion, two hundred fifty-eight million, fifty-three thousand, one hundred twenty-seven".