625552646255526 has 128 divisors (see below), whose sum is σ = 1413066033561600. Its totient is φ = 182900177164800.

The previous prime is 625552646255519. The next prime is 625552646255531.

It is a happy number.

625552646255526 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×625552646255526² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8554295575 + ... + 8554368701.

It is an arithmetic number, because the mean of its divisors is an integer number (11039578387200).

Almost surely, 2^{625552646255526} is an apocalyptic number.

625552646255526 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 625552646255526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706533016780800).

625552646255526 is an abundant number, since it is smaller than the sum of its proper divisors (787513387306074).

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

625552646255526 is a wasteful number, since it uses less digits than its factorization.

625552646255526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85570.

The product of its digits is 1296000000, while the sum is 66.

The spelling of 625552646255526 in words is "six hundred twenty-five trillion, five hundred fifty-two billion, six hundred forty-six million, two hundred fifty-five thousand, five hundred twenty-six".