2525573952 has 336 divisors, whose sum is σ = 8367125760. Its totient is φ = 746127360.

The previous prime is 2525573929. The next prime is 2525573969. The reversal of 2525573952 is 2593755252.

2525573952 is a `hidden beast` number, since 2 + 5 + 2 + 557 + 3 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2525573898 and 2525573907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9827008 + ... + 9827264.

It is an arithmetic number, because the mean of its divisors is an integer number (24902160).

Almost surely, 2^2525573952 is an apocalyptic number.

2525573952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183562880).

2525573952 is an abundant number, since it is smaller than the sum of its proper divisors (5841551808).

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

2525573952 is a wasteful number, since it uses less digits than its factorization.

2525573952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 320 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The square root of 2525573952 is about 50255.0888169546. The cubic root of 2525573952 is about 1361.8210092950.

The spelling of 2525573952 in words is "two billion, five hundred twenty-five million, five hundred seventy-three thousand, nine hundred fifty-two".