526612101216625 has 16 divisors (see below), whose sum is σ = 657344861192448. Its totient is φ = 421204450926000.

The previous prime is 526612101216613. The next prime is 526612101216629.

526612101216625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 526612101216625 - 2⁷ = 526612101216497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (526612101216629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425529891 + ... + 426765640.

It is an arithmetic number, because the mean of its divisors is an integer number (41084053824528).

Almost surely, 2^{526612101216625} is an apocalyptic number.

It is an amenable number.

526612101216625 is a deficient number, since it is larger than the sum of its proper divisors (130732759975823).

526612101216625 is an equidigital number, since it uses as much as digits as its factorization.

526612101216625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852300489 (or 852300479 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

It can be divided in two parts, 52661210 and 1216625, that added together give a palindrome (53877835).

The spelling of 526612101216625 in words is "five hundred twenty-six trillion, six hundred twelve billion, one hundred one million, two hundred sixteen thousand, six hundred twenty-five".