7538256385 has 16 divisors (see below), whose sum is σ = 9872358912. Its totient is φ = 5480092800.

The previous prime is 7538256379. The next prime is 7538256413. The reversal of 7538256385 is 5836528357.

It is a happy number.

It is not a de Polignac number, because 7538256385 - 2¹⁵ = 7538223617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111472 + ... + 165838.

It is an arithmetic number, because the mean of its divisors is an integer number (617022432).

Almost surely, 2^7538256385 is an apocalyptic number.

It is an amenable number.

7538256385 is a deficient number, since it is larger than the sum of its proper divisors (2334102527).

7538256385 is a wasteful number, since it uses less digits than its factorization.

7538256385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56904.

The product of its digits is 6048000, while the sum is 52.

The square root of 7538256385 is about 86823.1327757758. The cubic root of 7538256385 is about 1960.7563706649.

The spelling of 7538256385 in words is "seven billion, five hundred thirty-eight million, two hundred fifty-six thousand, three hundred eighty-five".