825325307505 has 12 divisors (see below), whose sum is σ = 1430563866420. Its totient is φ = 440173497312.

The previous prime is 825325307503. The next prime is 825325307507. The reversal of 825325307505 is 505703523528.

It is a happy number.

825325307505 is a `hidden beast` number, since 82 + 5 + 32 + 5 + 30 + 7 + 505 = 666.

It is an interprime number because it is at equal distance from previous prime (825325307503) and next prime (825325307507).

It can be written as a sum of positive squares in 2 ways, for example, as 570316467249 + 255008840256 = 755193^2 + 504984^2 .

It is not a de Polignac number, because 825325307505 - 2¹ = 825325307503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 18340562389 = 825325307505 / (8 + 2 + 5 + 3 + 2 + 5 + 3 + 0 + 7 + 5 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (825325307503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9170281150 + ... + 9170281239.

It is an arithmetic number, because the mean of its divisors is an integer number (119213655535).

Almost surely, 2^825325307505 is an apocalyptic number.

It is an amenable number.

825325307505 is a deficient number, since it is larger than the sum of its proper divisors (605238558915).

825325307505 is a wasteful number, since it uses less digits than its factorization.

825325307505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18340562400 (or 18340562397 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 825325307505 in words is "eight hundred twenty-five billion, three hundred twenty-five million, three hundred seven thousand, five hundred five".