10513350 has 72 divisors (see below), whose sum is σ = 28783872. Its totient is φ = 2750400.

The previous prime is 10513333. The next prime is 10513351. The reversal of 10513350 is 5331501.

It is a happy number.

It is a super-2 number, since 2×10513350² = 221061056445000, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27259 + ... + 27641.

It is an arithmetic number, because the mean of its divisors is an integer number (399776).

Almost surely, 2^10513350 is an apocalyptic number.

10513350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10513350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391936).

10513350 is an abundant number, since it is smaller than the sum of its proper divisors (18270522).

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

10513350 is a wasteful number, since it uses less digits than its factorization.

10513350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 10513350 is about 3242.4296445721. The cubic root of 10513350 is about 219.0687217870.

Adding to 10513350 its reverse (5331501), we get a palindrome (15844851).

The spelling of 10513350 in words is "ten million, five hundred thirteen thousand, three hundred fifty".