1004125536 has 288 divisors, whose sum is σ = 3253618368. Its totient is φ = 291962880.

The previous prime is 1004125511. The next prime is 1004125541. The reversal of 1004125536 is 6355214001.

1004125536 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 125 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 4166376 + ... + 4166616.

It is an arithmetic number, because the mean of its divisors is an integer number (11297286).

Almost surely, 2^1004125536 is an apocalyptic number.

1004125536 is a gapful number since it is divisible by the number (16) 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 1004125536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626809184).

1004125536 is an abundant number, since it is smaller than the sum of its proper divisors (2249492832).

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

1004125536 is a wasteful number, since it uses less digits than its factorization.

1004125536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1004125536 is about 31687.9399141061. The cubic root of 1004125536 is about 1001.3732918728.

Adding to 1004125536 its reverse (6355214001), we get a palindrome (7359339537).

The spelling of 1004125536 in words is "one billion, four million, one hundred twenty-five thousand, five hundred thirty-six".