1505315253 has 8 divisors (see below), whose sum is σ = 2161478368. Its totient is φ = 926347824.

The previous prime is 1505315237. The next prime is 1505315257. The reversal of 1505315253 is 3525135051.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1505315253 - 2⁴ = 1505315237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1505315253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505315257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19298875 + ... + 19298952.

It is an arithmetic number, because the mean of its divisors is an integer number (270184796).

Almost surely, 2^1505315253 is an apocalyptic number.

1505315253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1505315253 is a deficient number, since it is larger than the sum of its proper divisors (656163115).

1505315253 is a wasteful number, since it uses less digits than its factorization.

1505315253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38597843.

The product of its (nonzero) digits is 11250, while the sum is 30.

The square root of 1505315253 is about 38798.3924022633. The cubic root of 1505315253 is about 1146.0647477040.

The spelling of 1505315253 in words is "one billion, five hundred five million, three hundred fifteen thousand, two hundred fifty-three".