1513736420 has 72 divisors (see below), whose sum is σ = 3705634296. Its totient is φ = 517902336.

The previous prime is 1513736387. The next prime is 1513736429. The reversal of 1513736420 is 246373151.

It can be written as a sum of positive squares in 4 ways, for example, as 176517796 + 1337218624 = 13286^2 + 36568^2 .

It is not an unprimeable number, because it can be changed into a prime (1513736429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564122 + ... + 566798.

It is an arithmetic number, because the mean of its divisors is an integer number (51467143).

Almost surely, 2^1513736420 is an apocalyptic number.

1513736420 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 1513736420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852817148).

1513736420 is an abundant number, since it is smaller than the sum of its proper divisors (2191897876).

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

1513736420 is a wasteful number, since it uses less digits than its factorization.

1513736420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 1513736420 is about 38906.7657355376. The cubic root of 1513736420 is about 1148.1979135282.

The spelling of 1513736420 in words is "one billion, five hundred thirteen million, seven hundred thirty-six thousand, four hundred twenty".