88225607313 has 12 divisors (see below), whose sum is σ = 127511058948. Its totient is φ = 58782885120.

The previous prime is 88225607311. The next prime is 88225607317. The reversal of 88225607313 is 31370652288.

88225607313 is a `hidden beast` number, since 8 + 8 + 2 + 2 + 5 + 607 + 31 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69792657489 + 18432949824 = 264183^2 + 135768^2 .

It is not a de Polignac number, because 88225607313 - 2¹ = 88225607311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88225607311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2832520 + ... + 2863497.

It is an arithmetic number, because the mean of its divisors is an integer number (10625921579).

Almost surely, 2^88225607313 is an apocalyptic number.

It is an amenable number.

88225607313 is a deficient number, since it is larger than the sum of its proper divisors (39285451635).

88225607313 is a wasteful number, since it uses less digits than its factorization.

88225607313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697744 (or 5697741 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 88225607313 in words is "eighty-eight billion, two hundred twenty-five million, six hundred seven thousand, three hundred thirteen".