1415585052 has 96 divisors (see below), whose sum is σ = 4207741440. Its totient is φ = 403159680.

The previous prime is 1415585029. The next prime is 1415585099. The reversal of 1415585052 is 2505855141.

1415585052 is a `hidden beast` number, since 1 + 4 + 1 + 558 + 50 + 52 = 666.

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 = 1415584998 and 1415585016.

It is a congruent number.

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, 247408 + ... + 253064.

It is an arithmetic number, because the mean of its divisors is an integer number (43830640).

Almost surely, 2^1415585052 is an apocalyptic number.

1415585052 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 1415585052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103870720).

1415585052 is an abundant number, since it is smaller than the sum of its proper divisors (2792156388).

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

1415585052 is a wasteful number, since it uses less digits than its factorization.

1415585052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6008 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 1415585052 is about 37624.2614811241. The cubic root of 1415585052 is about 1122.8247817557.

The spelling of 1415585052 in words is "one billion, four hundred fifteen million, five hundred eighty-five thousand, fifty-two".