10253451206061 has 48 divisors (see below), whose sum is σ = 16962702067584. Its totient is φ = 5846534301312.

The previous prime is 10253451206051. The next prime is 10253451206077. The reversal of 10253451206061 is 16060215435201.

10253451206061 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 3 + 45 + 1 + 2 + 0 + 606 + 1 = 666.

It is not a de Polignac number, because 10253451206061 - 2²¹ = 10253449108909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253451206041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84736975 + ... + 84857891.

It is an arithmetic number, because the mean of its divisors is an integer number (353389626408).

Almost surely, 2^{10253451206061} is an apocalyptic number.

It is an amenable number.

10253451206061 is a deficient number, since it is larger than the sum of its proper divisors (6709250861523).

10253451206061 is a wasteful number, since it uses less digits than its factorization.

10253451206061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123810 (or 123807 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10253451206061 in words is "ten trillion, two hundred fifty-three billion, four hundred fifty-one million, two hundred six thousand, sixty-one".