506525256641 has 2 divisors, whose sum is σ = 506525256642. Its totient is φ = 506525256640.

The previous prime is 506525256613. The next prime is 506525256647. The reversal of 506525256641 is 146652525605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 459467065600 + 47058191041 = 677840^2 + 216929^2 .

It is a cyclic number.

It is not a de Polignac number, because 506525256641 - 2³⁴ = 489345387457 is a prime.

It is not a weakly prime, because it can be changed into another prime (506525256647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253262628320 + 253262628321.

It is an arithmetic number, because the mean of its divisors is an integer number (253262628321).

Almost surely, 2^506525256641 is an apocalyptic number.

It is an amenable number.

506525256641 is a deficient number, since it is larger than the sum of its proper divisors (1).

506525256641 is an equidigital number, since it uses as much as digits as its factorization.

506525256641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160000, while the sum is 47.

The spelling of 506525256641 in words is "five hundred six billion, five hundred twenty-five million, two hundred fifty-six thousand, six hundred forty-one".