10257505101 has 24 divisors (see below), whose sum is σ = 15778671480. Its totient is φ = 6398862336.

The previous prime is 10257505087. The next prime is 10257505151. The reversal of 10257505101 is 10150575201.

10257505101 is a `hidden beast` number, since 1 + 0 + 2 + 57 + 505 + 101 = 666.

10257505101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2148322500 + 8109182601 = 46350^2 + 90051^2 .

It is not a de Polignac number, because 10257505101 - 2⁹ = 10257504589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257505151) 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 23 ways as a sum of consecutive naturals, for example, 167296 + ... + 220233.

It is an arithmetic number, because the mean of its divisors is an integer number (657444645).

Almost surely, 2^10257505101 is an apocalyptic number.

It is an amenable number.

10257505101 is a deficient number, since it is larger than the sum of its proper divisors (5521166379).

10257505101 is a wasteful number, since it uses less digits than its factorization.

10257505101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387725 (or 387722 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The spelling of 10257505101 in words is "ten billion, two hundred fifty-seven million, five hundred five thousand, one hundred one".