117528281325 has 288 divisors, whose sum is σ = 273086521344. Its totient is φ = 46958123520.

The previous prime is 117528281293. The next prime is 117528281329. The reversal of 117528281325 is 523182825711.

117528281325 is a `hidden beast` number, since 1 + 17 + 528 + 2 + 81 + 32 + 5 = 666.

It is not a de Polignac number, because 117528281325 - 2⁵ = 117528281293 is a prime.

It is a super-2 number, since 2×117528281325² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117528281329) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48504064 + ... + 48506486.

It is an arithmetic number, because the mean of its divisors is an integer number (948217088).

Almost surely, 2^117528281325 is an apocalyptic number.

117528281325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117528281325 is an abundant number, since it is smaller than the sum of its proper divisors (155558240019).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117528281325 is a wasteful number, since it uses less digits than its factorization.

117528281325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2577 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The spelling of 117528281325 in words is "one hundred seventeen billion, five hundred twenty-eight million, two hundred eighty-one thousand, three hundred twenty-five".