1520153118 has 48 divisors (see below), whose sum is σ = 3595683312. Its totient is φ = 460320000.

The previous prime is 1520153081. The next prime is 1520153119. The reversal of 1520153118 is 8113510251.

It is a super-4 number, since 4×1520153118⁴ (a number of 38 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1520153091 and 1520153100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520153119) 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 23 ways as a sum of consecutive naturals, for example, 541318 + ... + 544118.

It is an arithmetic number, because the mean of its divisors is an integer number (74910069).

Almost surely, 2^1520153118 is an apocalyptic number.

1520153118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1520153118 is an abundant number, since it is smaller than the sum of its proper divisors (2075530194).

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

1520153118 is a wasteful number, since it uses less digits than its factorization.

1520153118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1520153118 is about 38989.1410267013. The cubic root of 1520153118 is about 1149.8180223708.

Adding to 1520153118 its reverse (8113510251), we get a palindrome (9633663369).

The spelling of 1520153118 in words is "one billion, five hundred twenty million, one hundred fifty-three thousand, one hundred eighteen".