1513132020 has 144 divisors (see below), whose sum is σ = 4785650688. Its totient is φ = 386622720.

The previous prime is 1513132009. The next prime is 1513132063. The reversal of 1513132020 is 202313151.

1513132020 is a `hidden beast` number, since 1 + 513 + 132 + 0 + 20 = 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 = 1513131984 and 1513132002.

It is a congruent number.

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, 444525 + ... + 447915.

Almost surely, 2^1513132020 is an apocalyptic number.

1513132020 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 1513132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392825344).

1513132020 is an abundant number, since it is smaller than the sum of its proper divisors (3272518668).

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

1513132020 is a wasteful number, since it uses less digits than its factorization.

1513132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3505 counting only the distinct ones).

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

The square root of 1513132020 is about 38898.9976734620. The cubic root of 1513132020 is about 1148.0450768801.

Adding to 1513132020 its reverse (202313151), we get a palindrome (1715445171).

The spelling of 1513132020 in words is "one billion, five hundred thirteen million, one hundred thirty-two thousand, twenty".