15005413125 has 60 divisors (see below), whose sum is σ = 27199277820. Its totient is φ = 7968960000.

The previous prime is 15005413117. The next prime is 15005413127. The reversal of 15005413125 is 52131450051.

15005413125 is a `hidden beast` number, since 1 + 500 + 5 + 4 + 131 + 25 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 12770582049 + 2234831076 = 113007^2 + 47274^2 .

It is not a de Polignac number, because 15005413125 - 2³ = 15005413117 is a prime.

It is a super-3 number, since 3×15005413125³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15005413127) 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 59 ways as a sum of consecutive naturals, for example, 1350091 + ... + 1361159.

It is an arithmetic number, because the mean of its divisors is an integer number (453321297).

Almost surely, 2^15005413125 is an apocalyptic number.

15005413125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15005413125 is a deficient number, since it is larger than the sum of its proper divisors (12193864695).

15005413125 is a wasteful number, since it uses less digits than its factorization.

15005413125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11336 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 15005413125 its reverse (52131450051), we get a palindrome (67136863176).

The spelling of 15005413125 in words is "fifteen billion, five million, four hundred thirteen thousand, one hundred twenty-five".