2551606071 has 16 divisors (see below), whose sum is σ = 3889722624. Its totient is φ = 1457475264.

The previous prime is 2551606037. The next prime is 2551606073. The reversal of 2551606071 is 1706061552.

2551606071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2551606071 - 2¹⁰ = 2551605047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551606073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32220 + ... + 78366.

It is an arithmetic number, because the mean of its divisors is an integer number (243107664).

Almost surely, 2^2551606071 is an apocalyptic number.

2551606071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2551606071 is a deficient number, since it is larger than the sum of its proper divisors (1338116553).

2551606071 is a wasteful number, since it uses less digits than its factorization.

2551606071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48790.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 2551606071 is about 50513.4246611730. The cubic root of 2551606071 is about 1366.4839726507.

The spelling of 2551606071 in words is "two billion, five hundred fifty-one million, six hundred six thousand, seventy-one".