972055035009 has 24 divisors (see below), whose sum is σ = 1417110775080. Its totient is φ = 642023511552.

The previous prime is 972055035001. The next prime is 972055035019. The reversal of 972055035009 is 900530550279.

972055035009 is a `hidden beast` number, since 97 + 2 + 0 + 5 + 50 + 3 + 500 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 218799417600 + 753255617409 = 467760^2 + 867903^2 .

It is not a de Polignac number, because 972055035009 - 2³ = 972055035001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972055035001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10266127 + ... + 10360379.

It is an arithmetic number, because the mean of its divisors is an integer number (59046282295).

Almost surely, 2^972055035009 is an apocalyptic number.

It is an amenable number.

972055035009 is a deficient number, since it is larger than the sum of its proper divisors (445055740071).

972055035009 is a wasteful number, since it uses less digits than its factorization.

972055035009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104881 (or 104878 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The spelling of 972055035009 in words is "nine hundred seventy-two billion, fifty-five million, thirty-five thousand, nine".