526431100240 has 40 divisors (see below), whose sum is σ = 1266157565640. Its totient is φ = 203311320576.

The previous prime is 526431100213. The next prime is 526431100243. The reversal of 526431100240 is 42001134625.

It can be written as a sum of positive squares in 4 ways, for example, as 108401611536 + 418029488704 = 329244^2 + 646552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 526431100199 and 526431100208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526431100243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113452659 + ... + 113457298.

It is an arithmetic number, because the mean of its divisors is an integer number (31653939141).

Almost surely, 2^526431100240 is an apocalyptic number.

It is an amenable number.

526431100240 is an abundant number, since it is smaller than the sum of its proper divisors (739726465400).

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

526431100240 is a wasteful number, since it uses less digits than its factorization.

526431100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226909999 (or 226909993 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 526431100240 its reverse (42001134625), we get a palindrome (568432234865).

The spelling of 526431100240 in words is "five hundred twenty-six billion, four hundred thirty-one million, one hundred thousand, two hundred forty".