2505551601 has 16 divisors (see below), whose sum is σ = 3840850944. Its totient is φ = 1423168464.

The previous prime is 2505551593. The next prime is 2505551611. The reversal of 2505551601 is 1061555052.

It is not a de Polignac number, because 2505551601 - 2³ = 2505551593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2505551611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353715 + ... + 360728.

It is an arithmetic number, because the mean of its divisors is an integer number (240053184).

Almost surely, 2^2505551601 is an apocalyptic number.

2505551601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2505551601 is a deficient number, since it is larger than the sum of its proper divisors (1335299343).

2505551601 is a wasteful number, since it uses less digits than its factorization.

2505551601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714620.

The product of its (nonzero) digits is 7500, while the sum is 30.

The square root of 2505551601 is about 50055.4852238993. The cubic root of 2505551601 is about 1358.2126898141.

The spelling of 2505551601 in words is "two billion, five hundred five million, five hundred fifty-one thousand, six hundred one".