2761605825 has 48 divisors (see below), whose sum is σ = 5243116800. Its totient is φ = 1268481600.

The previous prime is 2761605809. The next prime is 2761605853. The reversal of 2761605825 is 5285061672.

It is not a de Polignac number, because 2761605825 - 2⁴ = 2761605809 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72415 + ... + 103764.

It is an arithmetic number, because the mean of its divisors is an integer number (109231600).

Almost surely, 2^2761605825 is an apocalyptic number.

2761605825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2761605825 is a deficient number, since it is larger than the sum of its proper divisors (2481510975).

2761605825 is a wasteful number, since it uses less digits than its factorization.

2761605825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176222 (or 176217 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 2761605825 is about 52550.9831021266. The cubic root of 2761605825 is about 1402.9878069673.

The spelling of 2761605825 in words is "two billion, seven hundred sixty-one million, six hundred five thousand, eight hundred twenty-five".