2561528502 has 64 divisors (see below), whose sum is σ = 6137208000. Its totient is φ = 787256064.

The previous prime is 2561528477. The next prime is 2561528503. The reversal of 2561528502 is 2058251652.

It is a happy number.

2561528502 is a `hidden beast` number, since 25 + 61 + 528 + 50 + 2 = 666.

It is a super-2 number, since 2×2561528502² = 13122856533116728008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561528503) 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 31 ways as a sum of consecutive naturals, for example, 861274 + ... + 864242.

It is an arithmetic number, because the mean of its divisors is an integer number (95893875).

Almost surely, 2^2561528502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561528502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068604000).

2561528502 is an abundant number, since it is smaller than the sum of its proper divisors (3575679498).

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

2561528502 is a wasteful number, since it uses less digits than its factorization.

2561528502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2561528502 is about 50611.5451453520. The cubic root of 2561528502 is about 1368.2529637620.

The spelling of 2561528502 in words is "two billion, five hundred sixty-one million, five hundred twenty-eight thousand, five hundred two".