5661000510 has 256 divisors, whose sum is σ = 16167610368. Its totient is φ = 1253376000.

The previous prime is 5661000509. The next prime is 5661000533. The reversal of 5661000510 is 150001665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54961119 + ... + 54961221.

It is an arithmetic number, because the mean of its divisors is an integer number (63154728).

Almost surely, 2^5661000510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5661000510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083805184).

5661000510 is an abundant number, since it is smaller than the sum of its proper divisors (10506609858).

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

5661000510 is a wasteful number, since it uses less digits than its factorization.

5661000510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5661000510 is about 75239.6206130786. The cubic root of 5661000510 is about 1782.2326600381.

The spelling of 5661000510 in words is "five billion, six hundred sixty-one million, five hundred ten", and thus it is an aban number.