10152261 has 18 divisors (see below), whose sum is σ = 17059302. Its totient is φ = 5801040.

The previous prime is 10152239. The next prime is 10152277. The reversal of 10152261 is 16225101.

10152261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6890625 + 3261636 = 2625^2 + 1806^2 .

It is not a de Polignac number, because 10152261 - 2⁵ = 10152229 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153261) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11070 + ... + 11951.

It is an arithmetic number, because the mean of its divisors is an integer number (947739).

Almost surely, 2^10152261 is an apocalyptic number.

It is an amenable number.

10152261 is a deficient number, since it is larger than the sum of its proper divisors (6907041).

10152261 is a wasteful number, since it uses less digits than its factorization.

10152261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23041 (or 23031 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10152261 is about 3186.2612887207. The cubic root of 10152261 is about 216.5314203945.

Adding to 10152261 its reverse (16225101), we get a palindrome (26377362).

The spelling of 10152261 in words is "ten million, one hundred fifty-two thousand, two hundred sixty-one".