725651260343625 has 256 divisors, whose sum is σ = 1556460577751040. Its totient is φ = 291378578400000.

The previous prime is 725651260343623. The next prime is 725651260343651. The reversal of 725651260343625 is 526343062156527.

It is not a de Polignac number, because 725651260343625 - 2¹ = 725651260343623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (725651260343623) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 564181506 + ... + 565466244.

It is an arithmetic number, because the mean of its divisors is an integer number (6079924131840).

Almost surely, 2^{725651260343625} is an apocalyptic number.

725651260343625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

725651260343625 is an abundant number, since it is smaller than the sum of its proper divisors (830809317407415).

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

725651260343625 is a wasteful number, since it uses less digits than its factorization.

725651260343625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285437 (or 1285427 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 57.

The spelling of 725651260343625 in words is "seven hundred twenty-five trillion, six hundred fifty-one billion, two hundred sixty million, three hundred forty-three thousand, six hundred twenty-five".