9257655201 has 48 divisors (see below), whose sum is σ = 13486387200. Its totient is φ = 5644461312.

The previous prime is 9257655193. The next prime is 9257655241. The reversal of 9257655201 is 1025567529.

9257655201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9257655201 - 2³ = 9257655193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9257655241) 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 47 ways as a sum of consecutive naturals, for example, 8909640 + ... + 8910678.

It is an arithmetic number, because the mean of its divisors is an integer number (280966400).

Almost surely, 2^9257655201 is an apocalyptic number.

It is an amenable number.

9257655201 is a deficient number, since it is larger than the sum of its proper divisors (4228731999).

9257655201 is a wasteful number, since it uses less digits than its factorization.

9257655201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The square root of 9257655201 is about 96216.7095727140. The cubic root of 9257655201 is about 2099.7471502826.

The spelling of 9257655201 in words is "nine billion, two hundred fifty-seven million, six hundred fifty-five thousand, two hundred one".