725820506401 has 9 divisors (see below), whose sum is σ = 733463842611. Its totient is φ = 718256033472.

The previous prime is 725820506381. The next prime is 725820506431. The reversal of 725820506401 is 104605028527.

The square root of 725820506401 is 851951.

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

It can be written as a sum of positive squares in only one way, i.e., 325921101025 + 399899405376 = 570895^2 + 632376^2 .

It is not a de Polignac number, because 725820506401 - 2¹³ = 725820498209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725820506431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82634856 + ... + 82643638.

Almost surely, 2^725820506401 is an apocalyptic number.

725820506401 is the 851951-st square number.

725820506401 is the 425976-th centered octagonal number.

It is an amenable number.

725820506401 is a deficient number, since it is larger than the sum of its proper divisors (7643336210).

725820506401 is an frugal number, since it uses more digits than its factorization.

725820506401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17760 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 725820506401 in words is "seven hundred twenty-five billion, eight hundred twenty million, five hundred six thousand, four hundred one".