20513120 has 96 divisors (see below), whose sum is σ = 51438240. Its totient is φ = 7720960.

The previous prime is 20513113. The next prime is 20513177. The reversal of 20513120 is 2131502.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20513095 and 20513104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347651 + ... + 347709.

It is an arithmetic number, because the mean of its divisors is an integer number (535815).

Almost surely, 2^20513120 is an apocalyptic number.

20513120 is a gapful number since it is divisible by the number (20) 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 20513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719120).

20513120 is an abundant number, since it is smaller than the sum of its proper divisors (30925120).

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

20513120 is a wasteful number, since it uses less digits than its factorization.

20513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 20513120 is about 4529.1411989471. The cubic root of 20513120 is about 273.7435574612.

Adding to 20513120 its reverse (2131502), we get a palindrome (22644622).

It can be divided in two parts, 205 and 13120, that multiplied together give a square (2689600 = 1640²).

The spelling of 20513120 in words is "twenty million, five hundred thirteen thousand, one hundred twenty".