2007077063125 has 20 divisors (see below), whose sum is σ = 2521174765824. Its totient is φ = 1597254950000.

The previous prime is 2007077063107. The next prime is 2007077063143. The reversal of 2007077063125 is 5213607707002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2007077063107) and next prime (2007077063143).

It is not a de Polignac number, because 2007077063125 - 2²⁵ = 2007043508693 is a prime.

It is a Duffinian number.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 8287231 + ... + 8525980.

Almost surely, 2^{2007077063125} is an apocalyptic number.

2007077063125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2007077063125 is a deficient number, since it is larger than the sum of its proper divisors (514097702699).

2007077063125 is an equidigital number, since it uses as much as digits as its factorization.

2007077063125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16813422 (or 16813407 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The spelling of 2007077063125 in words is "two trillion, seven billion, seventy-seven million, sixty-three thousand, one hundred twenty-five".