7825528536 has 256 divisors, whose sum is σ = 24364800000. Its totient is φ = 2086318080.

The previous prime is 7825528531. The next prime is 7825528559. The reversal of 7825528536 is 6358255287.

It is a super-2 number, since 2×7825528536² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825528531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27848716 + ... + 27848996.

It is an arithmetic number, because the mean of its divisors is an integer number (95175000).

Almost surely, 2^7825528536 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 7825528536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12182400000).

7825528536 is an abundant number, since it is smaller than the sum of its proper divisors (16539271464).

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

7825528536 is a wasteful number, since it uses less digits than its factorization.

7825528536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 509 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 51.

The square root of 7825528536 is about 88462.0174764288. The cubic root of 7825528536 is about 1985.3537163398.

The spelling of 7825528536 in words is "seven billion, eight hundred twenty-five million, five hundred twenty-eight thousand, five hundred thirty-six".