10265266120253 has 16 divisors (see below), whose sum is σ = 10352035154736. Its totient is φ = 10178858027520.

The previous prime is 10265266120223. The next prime is 10265266120261. The reversal of 10265266120253 is 35202166256201.

It can be written as a sum of positive squares in 8 ways, for example, as 21780889 + 10265244339364 = 4667^2 + 3203942^2 .

It is a cyclic number.

It is not a de Polignac number, because 10265266120253 - 2¹⁶ = 10265266054717 is a prime.

It is a super-2 number, since 2×10265266120253² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10265266120253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10265266120223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566100575 + ... + 566118707.

It is an arithmetic number, because the mean of its divisors is an integer number (647002197171).

Almost surely, 2^{10265266120253} is an apocalyptic number.

It is an amenable number.

10265266120253 is a deficient number, since it is larger than the sum of its proper divisors (86769034483).

10265266120253 is a wasteful number, since it uses less digits than its factorization.

10265266120253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27824.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 10265266120253 in words is "ten trillion, two hundred sixty-five billion, two hundred sixty-six million, one hundred twenty thousand, two hundred fifty-three".