10007295329473 has 8 divisors (see below), whose sum is σ = 10779749001000. Its totient is φ = 9235221904128.

The previous prime is 10007295329393. The next prime is 10007295329483. The reversal of 10007295329473 is 37492359270001.

It can be written as a sum of positive squares in 4 ways, for example, as 366475258384 + 9640820071089 = 605372^2 + 3104967^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10007295329473 - 2³⁷ = 9869856376001 is a prime.

It is a super-2 number, since 2×10007295329473² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10007295329473.

It is not an unprimeable number, because it can be changed into a prime (10007295329483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95006878 + ... + 95112151.

It is an arithmetic number, because the mean of its divisors is an integer number (1347468625125).

Almost surely, 2^{10007295329473} is an apocalyptic number.

10007295329473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10007295329473 is a deficient number, since it is larger than the sum of its proper divisors (772453671527).

10007295329473 is a wasteful number, since it uses less digits than its factorization.

10007295329473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190123091.

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 10007295329473 in words is "ten trillion, seven billion, two hundred ninety-five million, three hundred twenty-nine thousand, four hundred seventy-three".