10613520 has 60 divisors (see below), whose sum is σ = 35646156. Its totient is φ = 2830080.

The previous prime is 10613513. The next prime is 10613521. The reversal of 10613520 is 2531601.

10613520 is a `hidden beast` number, since 1 + 0 + 613 + 52 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 2862864 = 2784^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10613520² = 225293613580800, which contains 22 as substring.

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 = 10613493 and 10613502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10613521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6651 + ... + 8090.

Almost surely, 2^10613520 is an apocalyptic number.

10613520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10613520 is an abundant number, since it is smaller than the sum of its proper divisors (25032636).

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

10613520 is a wasteful number, since it uses less digits than its factorization.

10613520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14760 (or 14751 counting only the distinct ones).

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

The square root of 10613520 is about 3257.8397750657. The cubic root of 10613520 is about 219.7622776555.

The spelling of 10613520 in words is "ten million, six hundred thirteen thousand, five hundred twenty".