713132124017625 has 96 divisors (see below), whose sum is σ = 1465864055903520. Its totient is φ = 330428640153600.

The previous prime is 713132124017617. The next prime is 713132124017627. The reversal of 713132124017625 is 526710421231317.

713132124017625 is a `hidden beast` number, since 7 + 1 + 3 + 1 + 3 + 2 + 1 + 2 + 4 + 0 + 17 + 625 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 591369793065216 + 121762330952409 = 24318096^2 + 11034597^2 .

It is not a de Polignac number, because 713132124017625 - 2³ = 713132124017617 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (713132124017627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1433903460 + ... + 1434400709.

It is an arithmetic number, because the mean of its divisors is an integer number (15269417248995).

Almost surely, 2^{713132124017625} is an apocalyptic number.

713132124017625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

713132124017625 is an abundant number, since it is smaller than the sum of its proper divisors (752731931885895).

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

713132124017625 is a wasteful number, since it uses less digits than its factorization.

713132124017625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868304220 (or 2868304207 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 713132124017625 in words is "seven hundred thirteen trillion, one hundred thirty-two billion, one hundred twenty-four million, seventeen thousand, six hundred twenty-five".