1501413120 has 324 divisors, whose sum is σ = 5397570360. Its totient is φ = 385216512.

The previous prime is 1501413107. The next prime is 1501413149. The reversal of 1501413120 is 213141051.

1501413120 is a `hidden beast` number, since 1 + 501 + 41 + 3 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1501413093 and 1501413102.

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 35 ways as a sum of consecutive naturals, for example, 25447651 + ... + 25447709.

Almost surely, 2^1501413120 is an apocalyptic number.

1501413120 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 1501413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698785180).

1501413120 is an abundant number, since it is smaller than the sum of its proper divisors (3896157240).

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

1501413120 is an equidigital number, since it uses as much as digits as its factorization.

1501413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1501413120 is about 38748.0724681887. The cubic root of 1501413120 is about 1145.0736005268.

Adding to 1501413120 its reverse (213141051), we get a palindrome (1714554171).

The spelling of 1501413120 in words is "one billion, five hundred one million, four hundred thirteen thousand, one hundred twenty".