1503113040 has 360 divisors, whose sum is σ = 5968359072. Its totient is φ = 336061440.

The previous prime is 1503113039. The next prime is 1503113099. The reversal of 1503113040 is 403113051.

1503113040 is a `hidden beast` number, since 1 + 50 + 311 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1503113040² = 4518697622036083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1337919 + ... + 1339041.

Almost surely, 2^1503113040 is an apocalyptic number.

1503113040 is a gapful number since it is divisible by the number (10) 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 1503113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984179536).

1503113040 is an abundant number, since it is smaller than the sum of its proper divisors (4465246032).

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

1503113040 is a wasteful number, since it uses less digits than its factorization.

1503113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1503113040 is about 38770.0018055197. The cubic root of 1503113040 is about 1145.5055934097.

Adding to 1503113040 its reverse (403113051), we get a palindrome (1906226091).

It can be divided in two parts, 150311 and 3040, that added together give a palindrome (153351).

The spelling of 1503113040 in words is "one billion, five hundred three million, one hundred thirteen thousand, forty".