1513054144 has 84 divisors (see below), whose sum is σ = 3535353864. Its totient is φ = 640528896.

The previous prime is 1513054141. The next prime is 1513054163. The reversal of 1513054144 is 4414503151.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1513054141) 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 11 ways as a sum of consecutive naturals, for example, 257382 + ... + 263194.

It is an arithmetic number, because the mean of its divisors is an integer number (42087546).

Almost surely, 2^1513054144 is an apocalyptic number.

1513054144 is a gapful number since it is divisible by the number (14) 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 1513054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767676932).

1513054144 is an abundant number, since it is smaller than the sum of its proper divisors (2022299720).

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

1513054144 is an equidigital number, since it uses as much as digits as its factorization.

1513054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1513054144 is about 38897.9966579257. The cubic root of 1513054144 is about 1148.0253811561.

Adding to 1513054144 its reverse (4414503151), we get a palindrome (5927557295).

The spelling of 1513054144 in words is "one billion, five hundred thirteen million, fifty-four thousand, one hundred forty-four".