10252406610 has 48 divisors (see below), whose sum is σ = 26699885784. Its totient is φ = 2729500416.

The previous prime is 10252406587. The next prime is 10252406611. The reversal of 10252406610 is 1660425201.

10252406610 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 40 + 6 + 610 = 666.

10252406610 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 4 ways, for example, as 4614349041 + 5638057569 = 67929^2 + 75087^2 .

It is a super-2 number, since 2×10252406610² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10252406611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37747 + ... + 148086.

Almost surely, 2^10252406610 is an apocalyptic number.

10252406610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10252406610 is an abundant number, since it is smaller than the sum of its proper divisors (16447479174).

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

10252406610 is a wasteful number, since it uses less digits than its factorization.

10252406610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186459 (or 186456 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10252406610 in words is "ten billion, two hundred fifty-two million, four hundred six thousand, six hundred ten".