1525135520 has 192 divisors, whose sum is σ = 4023613440. Its totient is φ = 544051200.

The previous prime is 1525135519. The next prime is 1525135531. The reversal of 1525135520 is 255315251.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3308090 + ... + 3308550.

It is an arithmetic number, because the mean of its divisors is an integer number (20956320).

Almost surely, 2^1525135520 is an apocalyptic number.

1525135520 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 1525135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011806720).

1525135520 is an abundant number, since it is smaller than the sum of its proper divisors (2498477920).

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

1525135520 is a wasteful number, since it uses less digits than its factorization.

1525135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 29.

The square root of 1525135520 is about 39052.9834967829. The cubic root of 1525135520 is about 1151.0728538782.

The spelling of 1525135520 in words is "one billion, five hundred twenty-five million, one hundred thirty-five thousand, five hundred twenty".