1505113785 has 128 divisors (see below), whose sum is σ = 3408998400. Its totient is φ = 613370880.

The previous prime is 1505113763. The next prime is 1505113811. The reversal of 1505113785 is 5873115051.

1505113785 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1505113785 - 2⁹ = 1505113273 is a prime.

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, 302770 + ... + 307700.

It is an arithmetic number, because the mean of its divisors is an integer number (26632800).

Almost surely, 2^1505113785 is an apocalyptic number.

1505113785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1505113785 is an abundant number, since it is smaller than the sum of its proper divisors (1903884615).

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

1505113785 is a wasteful number, since it uses less digits than its factorization.

1505113785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

The square root of 1505113785 is about 38795.7959706976. The cubic root of 1505113785 is about 1146.0136165154.

The spelling of 1505113785 in words is "one billion, five hundred five million, one hundred thirteen thousand, seven hundred eighty-five".