1011500064 has 72 divisors (see below), whose sum is σ = 2902002012. Its totient is φ = 334172160.

The previous prime is 1011500057. The next prime is 1011500089. The reversal of 1011500064 is 4600051101.

1011500064 is a `hidden beast` number, since 101 + 1 + 500 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 835672464 + 175827600 = 28908^2 + 13260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17004 + ... + 48084.

Almost surely, 2^1011500064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011500064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451001006).

1011500064 is an abundant number, since it is smaller than the sum of its proper divisors (1890501948).

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

1011500064 is a wasteful number, since it uses less digits than its factorization.

1011500064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31210 (or 31199 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1011500064 is about 31804.0887937385. The cubic root of 1011500064 is about 1003.8187532277.

Adding to 1011500064 its reverse (4600051101), we get a palindrome (5611551165).

The spelling of 1011500064 in words is "one billion, eleven million, five hundred thousand, sixty-four".