2525535936 has 784 divisors, whose sum is σ = 10127650560. Its totient is φ = 604661760.

The previous prime is 2525535923. The next prime is 2525535949. The reversal of 2525535936 is 6395355252.

2525535936 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 53 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2525535923) and next prime (2525535949).

It is a junction number, because it is equal to n+sod(n) for n = 2525535891 and 2525535900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68257710 + ... + 68257746.

Almost surely, 2^2525535936 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 2525535936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063825280).

2525535936 is an abundant number, since it is smaller than the sum of its proper divisors (7602114624).

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

2525535936 is a wasteful number, since it uses less digits than its factorization.

2525535936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its digits is 1215000, while the sum is 45.

The square root of 2525535936 is about 50254.7105851780. The cubic root of 2525535936 is about 1361.8141763601.

The spelling of 2525535936 in words is "two billion, five hundred twenty-five million, five hundred thirty-five thousand, nine hundred thirty-six".