906580429001 has 16 divisors (see below), whose sum is σ = 980096667984. Its totient is φ = 833606701824.

The previous prime is 906580428973. The next prime is 906580429091. The reversal of 906580429001 is 100924085609.

It can be written as a sum of positive squares in 8 ways, for example, as 286701348025 + 619879080976 = 535445^2 + 787324^2 .

It is not a de Polignac number, because 906580429001 - 2³⁰ = 905506687177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (906580429091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8467535 + ... + 8573931.

It is an arithmetic number, because the mean of its divisors is an integer number (61256041749).

Almost surely, 2^906580429001 is an apocalyptic number.

It is an amenable number.

906580429001 is a deficient number, since it is larger than the sum of its proper divisors (73516238983).

906580429001 is a wasteful number, since it uses less digits than its factorization.

906580429001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108940.

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 906580429001 in words is "nine hundred six billion, five hundred eighty million, four hundred twenty-nine thousand, one".