523098826401 has 96 divisors (see below), whose sum is σ = 766646231040. Its totient is φ = 316336320000.

The previous prime is 523098826399. The next prime is 523098826427. The reversal of 523098826401 is 104628890325.

It is not a de Polignac number, because 523098826401 - 2¹ = 523098826399 is a prime.

It is a super-3 number, since 3×523098826401³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (523098826301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1848405606 + ... + 1848405888.

It is an arithmetic number, because the mean of its divisors is an integer number (7985898240).

Almost surely, 2^523098826401 is an apocalyptic number.

It is an amenable number.

523098826401 is a deficient number, since it is larger than the sum of its proper divisors (243547404639).

523098826401 is a wasteful number, since it uses less digits than its factorization.

523098826401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 523098826401 in words is "five hundred twenty-three billion, ninety-eight million, eight hundred twenty-six thousand, four hundred one".