2561503425 has 72 divisors (see below), whose sum is σ = 4615552800. Its totient is φ = 1252892160.

The previous prime is 2561503403. The next prime is 2561503453. The reversal of 2561503425 is 5243051652.

It is not a de Polignac number, because 2561503425 - 2⁶ = 2561503361 is a prime.

It is a super-3 number, since 3×2561503425³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2268261 + ... + 2269389.

It is an arithmetic number, because the mean of its divisors is an integer number (64104900).

Almost surely, 2^2561503425 is an apocalyptic number.

2561503425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2561503425 is a deficient number, since it is larger than the sum of its proper divisors (2054049375).

2561503425 is a wasteful number, since it uses less digits than its factorization.

2561503425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 2561503425 is about 50611.2974048285. The cubic root of 2561503425 is about 1368.2484987468.

The spelling of 2561503425 in words is "two billion, five hundred sixty-one million, five hundred three thousand, four hundred twenty-five".