2561523552 has 288 divisors, whose sum is σ = 9102772224. Its totient is φ = 666316800.

The previous prime is 2561523539. The next prime is 2561523557. The reversal of 2561523552 is 2553251652.

2561523552 is a `hidden beast` number, since 2 + 5 + 615 + 2 + 35 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2561523552² = 13122805814901393408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561523557) 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, 1061227 + ... + 1063637.

It is an arithmetic number, because the mean of its divisors is an integer number (31606848).

Almost surely, 2^2561523552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561523552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551386112).

2561523552 is an abundant number, since it is smaller than the sum of its proper divisors (6541248672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2561523552 is a wasteful number, since it uses less digits than its factorization.

2561523552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2471 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 2561523552 is about 50611.4962434426. The cubic root of 2561523552 is about 1368.2520824059.

The spelling of 2561523552 in words is "two billion, five hundred sixty-one million, five hundred twenty-three thousand, five hundred fifty-two".