10251612602145 has 40 divisors (see below), whose sum is σ = 18378895835520. Its totient is φ = 5466952202400.

The previous prime is 10251612602131. The next prime is 10251612602159. The reversal of 10251612602145 is 54120621615201.

10251612602145 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 1 + 6 + 1 + 2 + 602 + 1 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (10251612602131) and next prime (10251612602159).

It is not a de Polignac number, because 10251612602145 - 2¹⁶ = 10251612536609 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2543026 + ... + 5193284.

It is an arithmetic number, because the mean of its divisors is an integer number (459472395888).

Almost surely, 2^{10251612602145} is an apocalyptic number.

10251612602145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10251612602145 is a deficient number, since it is larger than the sum of its proper divisors (8127283233375).

10251612602145 is an equidigital number, since it uses as much as digits as its factorization.

10251612602145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659827 (or 2659818 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10251612602145 in words is "ten trillion, two hundred fifty-one billion, six hundred twelve million, six hundred two thousand, one hundred forty-five".