10261251 has 96 divisors (see below), whose sum is σ = 21385728. Its totient is φ = 4561920.

The previous prime is 10261249. The next prime is 10261271. The reversal of 10261251 is 15216201.

10261251 is a `hidden beast` number, since 1 + 0 + 2 + 612 + 51 = 666.

It is not a de Polignac number, because 10261251 - 2¹ = 10261249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10261211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153120 + ... + 153186.

It is an arithmetic number, because the mean of its divisors is an integer number (222768).

Almost surely, 2^10261251 is an apocalyptic number.

10261251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10261251 is an abundant number, since it is smaller than the sum of its proper divisors (11124477).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10261251 is a wasteful number, since it uses less digits than its factorization.

10261251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

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

The square root of 10261251 is about 3203.3187477989. The cubic root of 10261251 is about 217.3035245123.

Adding to 10261251 its reverse (15216201), we get a palindrome (25477452).

The spelling of 10261251 in words is "ten million, two hundred sixty-one thousand, two hundred fifty-one".