1260525000 has 288 divisors, whose sum is σ = 4595330880. Its totient is φ = 288120000.

The previous prime is 1260524987. The next prime is 1260525001. The reversal of 1260525000 is 5250621.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260525001) 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, 180074997 + ... + 180075003.

It is an arithmetic number, because the mean of its divisors is an integer number (15956010).

Almost surely, 2^1260525000 is an apocalyptic number.

1260525000 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 1260525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297665440).

1260525000 is an abundant number, since it is smaller than the sum of its proper divisors (3334805880).

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

1260525000 is an frugal number, since it uses more digits than its factorization.

1260525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1260525000 is about 35503.8730281641. The cubic root of 1260525000 is about 1080.2322888555.

Adding to 1260525000 its reverse (5250621), we get a palindrome (1265775621).

The spelling of 1260525000 in words is "one billion, two hundred sixty million, five hundred twenty-five thousand".