2551509975 has 48 divisors (see below), whose sum is σ = 4868974080. Its totient is φ = 1154832000.

The previous prime is 2551509959. The next prime is 2551509977. The reversal of 2551509975 is 5799051552.

It is not a de Polignac number, because 2551509975 - 2⁴ = 2551509959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551509977) 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, 28966 + ... + 77084.

It is an arithmetic number, because the mean of its divisors is an integer number (101436960).

Almost surely, 2^2551509975 is an apocalyptic number.

2551509975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2551509975 is a deficient number, since it is larger than the sum of its proper divisors (2317464105).

2551509975 is a wasteful number, since it uses less digits than its factorization.

2551509975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48240 (or 48235 counting only the distinct ones).

The product of its (nonzero) digits is 708750, while the sum is 48.

The square root of 2551509975 is about 50512.4734595327. The cubic root of 2551509975 is about 1366.4668180575.

The spelling of 2551509975 in words is "two billion, five hundred fifty-one million, five hundred nine thousand, nine hundred seventy-five".