906414656501 has 2 divisors, whose sum is σ = 906414656502. Its totient is φ = 906414656500.

The previous prime is 906414656489. The next prime is 906414656551. The reversal of 906414656501 is 105656414609.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 689655507025 + 216759149476 = 830455^2 + 465574^2 .

It is a cyclic number.

It is not a de Polignac number, because 906414656501 - 2¹⁰ = 906414655477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (906414656551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 453207328250 + 453207328251.

It is an arithmetic number, because the mean of its divisors is an integer number (453207328251).

Almost surely, 2^906414656501 is an apocalyptic number.

It is an amenable number.

906414656501 is a deficient number, since it is larger than the sum of its proper divisors (1).

906414656501 is an equidigital number, since it uses as much as digits as its factorization.

906414656501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 906414656501 in words is "nine hundred six billion, four hundred fourteen million, six hundred fifty-six thousand, five hundred one".