10145561654025 has 36 divisors (see below), whose sum is σ = 20767803668352. Its totient is φ = 4637971041120.

The previous prime is 10145561654009. The next prime is 10145561654027. The reversal of 10145561654025 is 52045616554101.

10145561654025 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 5 + 616 + 5 + 4 + 0 + 25 = 666.

It is not a de Polignac number, because 10145561654025 - 2⁴ = 10145561654009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10145561654027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3220811649 + ... + 3220814798.

It is an arithmetic number, because the mean of its divisors is an integer number (576883435232).

Almost surely, 2^{10145561654025} is an apocalyptic number.

10145561654025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10145561654025 is an abundant number, since it is smaller than the sum of its proper divisors (10622242014327).

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

10145561654025 is a wasteful number, since it uses less digits than its factorization.

10145561654025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441626470 (or 6441626462 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 10145561654025 in words is "ten trillion, one hundred forty-five billion, five hundred sixty-one million, six hundred fifty-four thousand, twenty-five".