101752616611825 has 6 divisors (see below), whose sum is σ = 126173244598694. Its totient is φ = 81402093289440.

The previous prime is 101752616611823. The next prime is 101752616611831. The reversal of 101752616611825 is 528116616257101.

It can be written as a sum of positive squares in 3 ways, for example, as 13740299517681 + 88012317094144 = 3706791^2 + 9381488^2 .

It is not a de Polignac number, because 101752616611825 - 2¹ = 101752616611823 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101752616611823) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2035052332212 + ... + 2035052332261.

Almost surely, 2^{101752616611825} is an apocalyptic number.

It is an amenable number.

101752616611825 is a deficient number, since it is larger than the sum of its proper divisors (24420627986869).

101752616611825 is an equidigital number, since it uses as much as digits as its factorization.

101752616611825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070104664483 (or 4070104664478 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 52.

The spelling of 101752616611825 in words is "one hundred one trillion, seven hundred fifty-two billion, six hundred sixteen million, six hundred eleven thousand, eight hundred twenty-five".