1152526000 has 80 divisors (see below), whose sum is σ = 2803758048. Its totient is φ = 458208000.

The previous prime is 1152525961. The next prime is 1152526003. The reversal of 1152526000 is 6252511.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1152526003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344335 + ... + 347665.

Almost surely, 2^1152526000 is an apocalyptic number.

1152526000 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 1152526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401879024).

1152526000 is an abundant number, since it is smaller than the sum of its proper divisors (1651232048).

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

1152526000 is a wasteful number, since it uses less digits than its factorization.

1152526000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1152526000 is about 33948.8733244566. The cubic root of 1152526000 is about 1048.4560831718.

Adding to 1152526000 its reverse (6252511), we get a palindrome (1158778511).

The spelling of 1152526000 in words is "one billion, one hundred fifty-two million, five hundred twenty-six thousand".