10507253 has 4 divisors (see below), whose sum is σ = 10515648. Its totient is φ = 10498860.

The previous prime is 10507249. The next prime is 10507261. The reversal of 10507253 is 35270501.

10507253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 35270501 = 7 ⋅5038643.

It is a cyclic number.

It is not a de Polignac number, because 10507253 - 2² = 10507249 is a prime.

It is a super-2 number, since 2×10507253² = 220804731212018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1901 + ... + 4962.

It is an arithmetic number, because the mean of its divisors is an integer number (2628912).

Almost surely, 2^10507253 is an apocalyptic number.

It is an amenable number.

10507253 is a deficient number, since it is larger than the sum of its proper divisors (8395).

10507253 is an equidigital number, since it uses as much as digits as its factorization.

10507253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8394.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 10507253 is about 3241.4893181993. The cubic root of 10507253 is about 219.0263654725.

Adding to 10507253 its reverse (35270501), we get a palindrome (45777754).

The spelling of 10507253 in words is "ten million, five hundred seven thousand, two hundred fifty-three".