1505072205 has 128 divisors (see below), whose sum is σ = 3328496640. Its totient is φ = 628300800.

The previous prime is 1505072161. The next prime is 1505072207. The reversal of 1505072205 is 5022705051.

It is a happy number.

1505072205 is a `hidden beast` number, since 150 + 507 + 2 + 2 + 0 + 5 = 666.

It is not a de Polignac number, because 1505072205 - 2⁷ = 1505072077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505072207) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1240179 + ... + 1241391.

It is an arithmetic number, because the mean of its divisors is an integer number (26003880).

Almost surely, 2^1505072205 is an apocalyptic number.

1505072205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1505072205 is an abundant number, since it is smaller than the sum of its proper divisors (1823424435).

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

1505072205 is a wasteful number, since it uses less digits than its factorization.

1505072205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 1505072205 is about 38795.2600841907. The cubic root of 1505072205 is about 1146.0030632302.

Adding to 1505072205 its reverse (5022705051), we get a palindrome (6527777256).

The spelling of 1505072205 in words is "one billion, five hundred five million, seventy-two thousand, two hundred five".