10006274307601 has 24 divisors (see below), whose sum is σ = 11847121457472. Its totient is φ = 8395143266400.

The previous prime is 10006274307599. The next prime is 10006274307613. The reversal of 10006274307601 is 10670347260001.

It is not a de Polignac number, because 10006274307601 - 2¹ = 10006274307599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10006274307641) 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, 7009110 + ... + 8315056.

It is an arithmetic number, because the mean of its divisors is an integer number (493630060728).

Almost surely, 2^{10006274307601} is an apocalyptic number.

10006274307601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10006274307601 is a deficient number, since it is larger than the sum of its proper divisors (1840847149871).

10006274307601 is a wasteful number, since it uses less digits than its factorization.

10006274307601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310853 (or 1310842 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 10006274307601 in words is "ten trillion, six billion, two hundred seventy-four million, three hundred seven thousand, six hundred one".