1561418352 has 120 divisors (see below), whose sum is σ = 4833343424. Its totient is φ = 467430912.

The previous prime is 1561418321. The next prime is 1561418359. The reversal of 1561418352 is 2538141651.

1561418352 is a `hidden beast` number, since 1 + 5 + 614 + 1 + 8 + 35 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561418359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57993 + ... + 80535.

Almost surely, 2^1561418352 is an apocalyptic number.

1561418352 is a gapful number since it is divisible by the number (12) 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 1561418352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416671712).

1561418352 is an abundant number, since it is smaller than the sum of its proper divisors (3271925072).

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

1561418352 is a wasteful number, since it uses less digits than its factorization.

1561418352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22607 (or 22598 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1561418352 is about 39514.7864982211. The cubic root of 1561418352 is about 1160.1293831110.

The spelling of 1561418352 in words is "one billion, five hundred sixty-one million, four hundred eighteen thousand, three hundred fifty-two".