1263525120 has 648 divisors, whose sum is σ = 5251690080. Its totient is φ = 277954560.

The previous prime is 1263525113. The next prime is 1263525121. The reversal of 1263525120 is 215253621.

It is a happy number.

1263525120 is a `hidden beast` number, since 1 + 2 + 635 + 2 + 5 + 1 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263525121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21415651 + ... + 21415709.

It is an arithmetic number, because the mean of its divisors is an integer number (8104460).

Almost surely, 2^1263525120 is an apocalyptic number.

1263525120 is a gapful number since it is divisible by the number (10) 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 1263525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625845040).

1263525120 is an abundant number, since it is smaller than the sum of its proper divisors (3988164960).

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

1263525120 is a wasteful number, since it uses less digits than its factorization.

1263525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

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

The square root of 1263525120 is about 35546.0985200908. The cubic root of 1263525120 is about 1081.0886142682.

Adding to 1263525120 its reverse (215253621), we get a palindrome (1478778741).

The spelling of 1263525120 in words is "one billion, two hundred sixty-three million, five hundred twenty-five thousand, one hundred twenty".