7538118357 has 32 divisors (see below), whose sum is σ = 12566937600. Its totient is φ = 3904643520.

The previous prime is 7538118337. The next prime is 7538118377.

7538118357 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (7538118337) and next prime (7538118377).

It is not a de Polignac number, because 7538118357 - 2⁷ = 7538118229 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7538118337) 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 31 ways as a sum of consecutive naturals, for example, 33868 + ... + 127370.

It is an arithmetic number, because the mean of its divisors is an integer number (392716800).

Almost surely, 2^7538118357 is an apocalyptic number.

7538118357 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

7538118357 is a deficient number, since it is larger than the sum of its proper divisors (5028819243).

7538118357 is a wasteful number, since it uses less digits than its factorization.

7538118357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93873.

The product of its digits is 705600, while the sum is 48.

The square root of 7538118357 is about 86822.3378918122. The cubic root of 7538118357 is about 1960.7444032232.

The spelling of 7538118357 in words is "seven billion, five hundred thirty-eight million, one hundred eighteen thousand, three hundred fifty-seven".