1026525528 has 256 divisors, whose sum is σ = 3459456000. Its totient is φ = 275788800.

The previous prime is 1026525527. The next prime is 1026525529. The reversal of 1026525528 is 8255256201.

It is a happy number.

1026525528 is a `hidden beast` number, since 102 + 6 + 5 + 25 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (1026525527) and next prime (1026525529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1026525492 and 1026525501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026525527) 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, 1797483 + ... + 1798053.

It is an arithmetic number, because the mean of its divisors is an integer number (13513500).

Almost surely, 2^1026525528 is an apocalyptic number.

1026525528 is a gapful number since it is divisible by the number (18) 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 1026525528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729728000).

1026525528 is an abundant number, since it is smaller than the sum of its proper divisors (2432930472).

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

1026525528 is a wasteful number, since it uses less digits than its factorization.

1026525528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

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

The square root of 1026525528 is about 32039.4370737065. The cubic root of 1026525528 is about 1008.7647965658.

The spelling of 1026525528 in words is "one billion, twenty-six million, five hundred twenty-five thousand, five hundred twenty-eight".