906506501 has 2 divisors, whose sum is σ = 906506502. Its totient is φ = 906506500.

The previous prime is 906506479. The next prime is 906506509. The reversal of 906506501 is 105605609.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 679853476 + 226653025 = 26074^2 + 15055^2 .

It is a cyclic number.

It is not a de Polignac number, because 906506501 - 2¹⁰ = 906505477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (906506509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 453253250 + 453253251.

It is an arithmetic number, because the mean of its divisors is an integer number (453253251).

Almost surely, 2^906506501 is an apocalyptic number.

It is an amenable number.

906506501 is a deficient number, since it is larger than the sum of its proper divisors (1).

906506501 is an equidigital number, since it uses as much as digits as its factorization.

906506501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 906506501 is about 30108.2463952984. The cubic root of 906506501 is about 967.8104511979.

The spelling of 906506501 in words is "nine hundred six million, five hundred six thousand, five hundred one".