7535605725 has 72 divisors (see below), whose sum is σ = 14334107112. Its totient is φ = 3771187200.

The previous prime is 7535605687. The next prime is 7535605747. The reversal of 7535605725 is 5275065357.

7535605725 is a `hidden beast` number, since 7 + 5 + 35 + 605 + 7 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1918702809 + 5616902916 = 43803^2 + 74946^2 .

It is not a de Polignac number, because 7535605725 - 2¹² = 7535601629 is a prime.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1347435 + ... + 1353015.

It is an arithmetic number, because the mean of its divisors is an integer number (199084821).

Almost surely, 2^7535605725 is an apocalyptic number.

7535605725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7535605725 is a deficient number, since it is larger than the sum of its proper divisors (6798501387).

7535605725 is a wasteful number, since it uses less digits than its factorization.

7535605725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The square root of 7535605725 is about 86807.8667230108. The cubic root of 7535605725 is about 1960.5265249506.

The spelling of 7535605725 in words is "seven billion, five hundred thirty-five million, six hundred five thousand, seven hundred twenty-five".