2511170261275 has 48 divisors (see below), whose sum is σ = 3499712566560. Its totient is φ = 1774612224000.

The previous prime is 2511170261267. The next prime is 2511170261323. The reversal of 2511170261275 is 5721620711152.

It is not a de Polignac number, because 2511170261275 - 2³ = 2511170261267 is a prime.

It is a super-2 number, since 2×2511170261275² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 113901 + ... + 2243950.

It is an arithmetic number, because the mean of its divisors is an integer number (72910678470).

Almost surely, 2^{2511170261275} is an apocalyptic number.

2511170261275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2511170261275 is a deficient number, since it is larger than the sum of its proper divisors (988542305285).

2511170261275 is a wasteful number, since it uses less digits than its factorization.

2511170261275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358016 (or 2358011 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 40.

The spelling of 2511170261275 in words is "two trillion, five hundred eleven billion, one hundred seventy million, two hundred sixty-one thousand, two hundred seventy-five".