561901536 has 384 divisors, whose sum is σ = 2010193920. Its totient is φ = 151165440.

The previous prime is 561901531. The next prime is 561901537. The reversal of 561901536 is 635109165.

561901536 is a `hidden beast` number, since 5 + 619 + 0 + 1 + 5 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 561901536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561901531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15186510 + ... + 15186546.

It is an arithmetic number, because the mean of its divisors is an integer number (5234880).

Almost surely, 2^561901536 is an apocalyptic number.

561901536 is a gapful number since it is divisible by the number (56) 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 561901536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005096960).

561901536 is an abundant number, since it is smaller than the sum of its proper divisors (1448292384).

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

561901536 is an equidigital number, since it uses as much as digits as its factorization.

561901536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 561901536 is about 23704.4623647110. The cubic root of 561901536 is about 825.1889550662.

The spelling of 561901536 in words is "five hundred sixty-one million, nine hundred one thousand, five hundred thirty-six".