10513152 has 162 divisors, whose sum is σ = 34038732. Its totient is φ = 3234816.

The previous prime is 10513141. The next prime is 10513163. The reversal of 10513152 is 25131501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10513152 is a `hidden beast` number, since 1 + 0 + 513 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (10513141) and next prime (10513163).

It is a tau number, because it is divible by the number of its divisors (162).

It is a super-2 number, since 2×10513152² = 221052729950208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 808698 + ... + 808710.

Almost surely, 2^10513152 is an apocalyptic number.

10513152 is a gapful number since it is divisible by the number (12) 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 10513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17019366).

10513152 is an abundant number, since it is smaller than the sum of its proper divisors (23525580).

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

10513152 is an frugal number, since it uses more digits than its factorization.

10513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10513152 is about 3242.3991117689. The cubic root of 10513152 is about 219.0673465235.

Adding to 10513152 its reverse (25131501), we get a palindrome (35644653).

The spelling of 10513152 in words is "ten million, five hundred thirteen thousand, one hundred fifty-two".