7541082528 has 192 divisors, whose sum is σ = 23336957952. Its totient is φ = 2087654400.

The previous prime is 7541082509. The next prime is 7541082551. The reversal of 7541082528 is 8252801457.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 7541082528.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2954853 + ... + 2957403.

It is an arithmetic number, because the mean of its divisors is an integer number (121546656).

Almost surely, 2^7541082528 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 7541082528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11668478976).

7541082528 is an abundant number, since it is smaller than the sum of its proper divisors (15795875424).

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

7541082528 is a wasteful number, since it uses less digits than its factorization.

7541082528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 7541082528 is about 86839.4065387368. The cubic root of 7541082528 is about 1961.0013736317.

The spelling of 7541082528 in words is "seven billion, five hundred forty-one million, eighty-two thousand, five hundred twenty-eight".