10513365 has 32 divisors (see below), whose sum is σ = 18203520. Its totient is φ = 5163264.

The previous prime is 10513351. The next prime is 10513367. The reversal of 10513365 is 56331501.

10513365 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10513365 - 2⁵ = 10513333 is a prime.

It is a super-2 number, since 2×10513365² = 221061687246450, which contains 22 as substring.

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 (10513367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10047 + ... + 11043.

It is an arithmetic number, because the mean of its divisors is an integer number (568860).

Almost surely, 2^10513365 is an apocalyptic number.

10513365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10513365 is a deficient number, since it is larger than the sum of its proper divisors (7690155).

10513365 is a wasteful number, since it uses less digits than its factorization.

10513365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 10513365 is about 3242.4319576515. The cubic root of 10513365 is about 219.0688259729.

Adding to 10513365 its reverse (56331501), we get a palindrome (66844866).

It can be divided in two parts, 10513 and 365, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10513365 in words is "ten million, five hundred thirteen thousand, three hundred sixty-five".