10507413 has 12 divisors (see below), whose sum is σ = 16297440. Its totient is φ = 6004152.

The previous prime is 10507397. The next prime is 10507417. The reversal of 10507413 is 31470501.

It is not a de Polignac number, because 10507413 - 2⁴ = 10507397 is a prime.

It is a super-2 number, since 2×10507413² = 220811455905138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10507413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507417) 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, 35593 + ... + 35886.

It is an arithmetic number, because the mean of its divisors is an integer number (1358120).

Almost surely, 2^10507413 is an apocalyptic number.

It is an amenable number.

10507413 is a deficient number, since it is larger than the sum of its proper divisors (5790027).

10507413 is an equidigital number, since it uses as much as digits as its factorization.

10507413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71496 (or 71489 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10507413 is about 3241.5139981188. The cubic root of 10507413 is about 219.0274772138.

Adding to 10507413 its reverse (31470501), we get a palindrome (41977914).

The spelling of 10507413 in words is "ten million, five hundred seven thousand, four hundred thirteen".