1525140000 has 360 divisors, whose sum is σ = 5590444860. Its totient is φ = 393984000.

The previous prime is 1525139999. The next prime is 1525140007. The reversal of 1525140000 is 415251.

1525140000 is a `hidden beast` number, since 1 + 525 + 140 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 62536464 + 1462603536 = 7908^2 + 38244^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1525140007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6659886 + ... + 6660114.

Almost surely, 2^1525140000 is an apocalyptic number.

1525140000 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 1525140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795222430).

1525140000 is an abundant number, since it is smaller than the sum of its proper divisors (4065304860).

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

1525140000 is a wasteful number, since it uses less digits than its factorization.

1525140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1525140000 is about 39053.0408547145. The cubic root of 1525140000 is about 1151.0739809478.

Adding to 1525140000 its reverse (415251), we get a palindrome (1525555251).

The spelling of 1525140000 in words is "one billion, five hundred twenty-five million, one hundred forty thousand".