9264407975001 has 27 divisors (see below), whose sum is σ = 13422338242911. Its totient is φ = 6157674676944.

The previous prime is 9264407974967. The next prime is 9264407975029. The reversal of 9264407975001 is 1005797044629.

The square root of 9264407975001 is 3043749.

It is a perfect power (a square), and thus also a powerful number.

9264407975001 is a `hidden beast` number, since 9 + 2 + 6 + 4 + 40 + 7 + 97 + 500 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 172229150025 + 9092178824976 = 415005^2 + 3015324^2 .

It is not a de Polignac number, because 9264407975001 - 2⁷ = 9264407974873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9264407975401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3460741275 + ... + 3460743951.

Almost surely, 2^{9264407975001} is an apocalyptic number.

9264407975001 is the 3043749-th square number.

9264407975001 is the 1521875-th centered octagonal number.

It is an amenable number.

9264407975001 is a deficient number, since it is larger than the sum of its proper divisors (4157930267910).

9264407975001 is an frugal number, since it uses more digits than its factorization.

9264407975001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 9264407975001 in words is "nine trillion, two hundred sixty-four billion, four hundred seven million, nine hundred seventy-five thousand, one".