1151522064 has 480 divisors, whose sum is σ = 4387219200. Its totient is φ = 272793600.

The previous prime is 1151522059. The next prime is 1151522083. The reversal of 1151522064 is 4602251511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7728262 + ... + 7728410.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2^1151522064 is an apocalyptic number.

1151522064 is a gapful number since it is divisible by the number (14) 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 1151522064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193609600).

1151522064 is an abundant number, since it is smaller than the sum of its proper divisors (3235697136).

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

1151522064 is a wasteful number, since it uses less digits than its factorization.

1151522064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1151522064 is about 33934.0841043338. The cubic root of 1151522064 is about 1048.1515669526.

Adding to 1151522064 its reverse (4602251511), we get a palindrome (5753773575).

The spelling of 1151522064 in words is "one billion, one hundred fifty-one million, five hundred twenty-two thousand, sixty-four".