825532755753 has 8 divisors (see below), whose sum is σ = 1148567312448. Its totient is φ = 526426684784.

The previous prime is 825532755739. The next prime is 825532755767. The reversal of 825532755753 is 357557235528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (825532755739) and next prime (825532755767).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825532755753 - 2¹⁷ = 825532624681 is a prime.

It is a super-4 number, since 4×825532755753⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 825532755693 and 825532755702.

It is not an unprimeable number, because it can be changed into a prime (825532755053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5982121350 + ... + 5982121487.

It is an arithmetic number, because the mean of its divisors is an integer number (143570914056).

Almost surely, 2^825532755753 is an apocalyptic number.

It is an amenable number.

825532755753 is a deficient number, since it is larger than the sum of its proper divisors (323034556695).

825532755753 is a wasteful number, since it uses less digits than its factorization.

825532755753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11964242863.

The product of its digits is 44100000, while the sum is 57.

The spelling of 825532755753 in words is "eight hundred twenty-five billion, five hundred thirty-two million, seven hundred fifty-five thousand, seven hundred fifty-three".