8413625390625 has 729 divisors, whose sum is σ = 20327197112001. Its totient is φ = 3341520000000.

The previous prime is 8413625390581. The next prime is 8413625390629. The reversal of 8413625390625 is 5260935263148.

It is a happy number.

The square root of 8413625390625 is 2900625.

It is a perfect power (a square), and thus also a powerful number.

8413625390625 is a `hidden beast` number, since 8 + 4 + 1 + 3 + 6 + 2 + 5 + 3 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 3185250464529 + 5228374926096 = 1784727^2 + 2286564^2 .

It is not a de Polignac number, because 8413625390625 - 2¹⁵ = 8413625357857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8413625390629) by changing a digit.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 494919140617 + ... + 494919140633.

Almost surely, 2^{8413625390625} is an apocalyptic number.

8413625390625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8413625390625 is the 2900625-th square number.

8413625390625 is the 1450313-rd centered octagonal number.

It is an amenable number.

8413625390625 is an abundant number, since it is smaller than the sum of its proper divisors (11913571721376).

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

8413625390625 is an frugal number, since it uses more digits than its factorization.

8413625390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 8413625390625 in words is "eight trillion, four hundred thirteen billion, six hundred twenty-five million, three hundred ninety thousand, six hundred twenty-five".