2571248961 has 8 divisors (see below), whose sum is σ = 3809257760. Its totient is φ = 1714165956.

The previous prime is 2571248957. The next prime is 2571248987. The reversal of 2571248961 is 1698421752.

It is not a de Polignac number, because 2571248961 - 2² = 2571248957 is a prime.

It is a super-2 number, since 2×2571248961² = 13222642438887159042, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2571248461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47615695 + ... + 47615748.

It is an arithmetic number, because the mean of its divisors is an integer number (476157220).

Almost surely, 2^2571248961 is an apocalyptic number.

It is an amenable number.

2571248961 is a deficient number, since it is larger than the sum of its proper divisors (1238008799).

2571248961 is an equidigital number, since it uses as much as digits as its factorization.

2571248961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95231452 (or 95231446 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2571248961 is about 50707.4842700760. The cubic root of 2571248961 is about 1369.9815226520.

It can be divided in two parts, 257124 and 8961, that added together give a triangular number (266085 = T₇₂₉).

The spelling of 2571248961 in words is "two billion, five hundred seventy-one million, two hundred forty-eight thousand, nine hundred sixty-one".