1036125288 has 96 divisors (see below), whose sum is σ = 3093068160. Its totient is φ = 310717440.

The previous prime is 1036125287. The next prime is 1036125317. The reversal of 1036125288 is 8825216301.

It is a happy number.

1036125288 is a `hidden beast` number, since 10 + 3 + 612 + 5 + 28 + 8 = 666.

It is a super-3 number, since 3×1036125288³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (1036125283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70081 + ... + 83567.

It is an arithmetic number, because the mean of its divisors is an integer number (32219460).

Almost surely, 2^1036125288 is an apocalyptic number.

1036125288 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 1036125288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546534080).

1036125288 is an abundant number, since it is smaller than the sum of its proper divisors (2056942872).

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

1036125288 is a wasteful number, since it uses less digits than its factorization.

1036125288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13607 (or 13600 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1036125288 is about 32188.9000744045. The cubic root of 1036125288 is about 1011.8996005112.

It can be divided in two parts, 103612 and 5288, that added together give a square (108900 = 330²).

The spelling of 1036125288 in words is "one billion, thirty-six million, one hundred twenty-five thousand, two hundred eighty-eight".