75605010825 has 48 divisors (see below), whose sum is σ = 125773217856. Its totient is φ = 40074009600.

The previous prime is 75605010821. The next prime is 75605010839. The reversal of 75605010825 is 52801050657.

It is not a de Polignac number, because 75605010825 - 2² = 75605010821 is a prime.

It is a super-2 number, since 2×75605010825² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75605010821) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9974437 + ... + 9982013.

It is an arithmetic number, because the mean of its divisors is an integer number (2620275372).

Almost surely, 2^75605010825 is an apocalyptic number.

75605010825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75605010825 is a deficient number, since it is larger than the sum of its proper divisors (50168207031).

75605010825 is a wasteful number, since it uses less digits than its factorization.

75605010825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8394 (or 8389 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 75605010825 in words is "seventy-five billion, six hundred five million, ten thousand, eight hundred twenty-five".