1504311225 has 48 divisors (see below), whose sum is σ = 2632212480. Its totient is φ = 755956800.

The previous prime is 1504311217. The next prime is 1504311233. The reversal of 1504311225 is 5221134051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1504311217) and next prime (1504311233).

It is not a de Polignac number, because 1504311225 - 2³ = 1504311217 is a prime.

It is a super-2 number, since 2×1504311225² = 4525904523322001250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1504311195 and 1504311204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269412 + ... + 274938.

It is an arithmetic number, because the mean of its divisors is an integer number (54837760).

Almost surely, 2^1504311225 is an apocalyptic number.

1504311225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1504311225 is a deficient number, since it is larger than the sum of its proper divisors (1127901255).

1504311225 is a wasteful number, since it uses less digits than its factorization.

1504311225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1504311225 is about 38785.4512027384. The cubic root of 1504311225 is about 1145.8098870207.

Adding to 1504311225 its reverse (5221134051), we get a palindrome (6725445276).

The spelling of 1504311225 in words is "one billion, five hundred four million, three hundred eleven thousand, two hundred twenty-five".