1566407052 has 96 divisors (see below), whose sum is σ = 4653680640. Its totient is φ = 446342400.

The previous prime is 1566407039. The next prime is 1566407083. The reversal of 1566407052 is 2507046651.

It is a happy number.

1566407052 is a `hidden beast` number, since 1 + 5 + 6 + 640 + 7 + 0 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1566406998 and 1566407016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300573 + ... + 305739.

It is an arithmetic number, because the mean of its divisors is an integer number (48475840).

Almost surely, 2^1566407052 is an apocalyptic number.

1566407052 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 1566407052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326840320).

1566407052 is an abundant number, since it is smaller than the sum of its proper divisors (3087273588).

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

1566407052 is a wasteful number, since it uses less digits than its factorization.

1566407052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1566407052 is about 39577.8606293973. The cubic root of 1566407052 is about 1161.3635995688.

The spelling of 1566407052 in words is "one billion, five hundred sixty-six million, four hundred seven thousand, fifty-two".