925349726401 has 27 divisors (see below), whose sum is σ = 985432553769. Its totient is φ = 868803360768.

The previous prime is 925349726381. The next prime is 925349726407. The reversal of 925349726401 is 104627943529.

The square root of 925349726401 is 961951.

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

It can be written as a sum of positive squares in 4 ways, for example, as 860721918001 + 64627808400 = 927751^2 + 254220^2 .

It is not a de Polignac number, because 925349726401 - 2²⁹ = 924812855489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (925349726407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3600582465 + ... + 3600582721.

Almost surely, 2^925349726401 is an apocalyptic number.

925349726401 is the 961951-st square number.

925349726401 is the 480976-th centered octagonal number.

It is an amenable number.

925349726401 is a deficient number, since it is larger than the sum of its proper divisors (60082827368).

925349726401 is an frugal number, since it uses more digits than its factorization.

925349726401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 925349726401 in words is "nine hundred twenty-five billion, three hundred forty-nine million, seven hundred twenty-six thousand, four hundred one".