661540512 has 72 divisors (see below), whose sum is σ = 1762635168. Its totient is φ = 217248640.

The previous prime is 661540483. The next prime is 661540519. The reversal of 661540512 is 215045166.

661540512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 661540512.

It is not an unprimeable number, because it can be changed into a prime (661540519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483253 + ... + 484619.

It is an arithmetic number, because the mean of its divisors is an integer number (24481044).

Almost surely, 2^661540512 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 661540512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881317584).

661540512 is an abundant number, since it is smaller than the sum of its proper divisors (1101094656).

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

661540512 is a wasteful number, since it uses less digits than its factorization.

661540512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 661540512 is about 25720.4298564390. The cubic root of 661540512 is about 871.3356469373.

Adding to 661540512 its reverse (215045166), we get a palindrome (876585678).

The spelling of 661540512 in words is "six hundred sixty-one million, five hundred forty thousand, five hundred twelve".