12953520 has 100 divisors (see below), whose sum is σ = 45012000. Its totient is φ = 3452544.

The previous prime is 12953513. The next prime is 12953537. The reversal of 12953520 is 2535921.

12953520 is a `hidden beast` number, since 129 + 535 + 2 + 0 = 666.

12953520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5481 + ... + 7479.

It is an arithmetic number, because the mean of its divisors is an integer number (450120).

Almost surely, 2^12953520 is an apocalyptic number.

12953520 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 12953520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506000).

12953520 is an abundant number, since it is smaller than the sum of its proper divisors (32058480).

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

12953520 is a wasteful number, since it uses less digits than its factorization.

12953520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 12953520 is about 3599.0998874719. The cubic root of 12953520 is about 234.8529032671.

The spelling of 12953520 in words is "twelve million, nine hundred fifty-three thousand, five hundred twenty".