10152627201 has 12 divisors (see below), whose sum is σ = 14776853520. Its totient is φ = 6716750040.

The previous prime is 10152627119. The next prime is 10152627217. The reversal of 10152627201 is 10272625101.

10152627201 is a `hidden beast` number, since 1 + 0 + 15 + 2 + 627 + 20 + 1 = 666.

It is not a de Polignac number, because 10152627201 - 2¹⁷ = 10152496129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10152627241) 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 11 ways as a sum of consecutive naturals, for example, 4304431 + ... + 4306788.

It is an arithmetic number, because the mean of its divisors is an integer number (1231404460).

Almost surely, 2^10152627201 is an apocalyptic number.

It is an amenable number.

10152627201 is a deficient number, since it is larger than the sum of its proper divisors (4624226319).

10152627201 is a wasteful number, since it uses less digits than its factorization.

10152627201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611356 (or 8611353 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10152627201 in words is "ten billion, one hundred fifty-two million, six hundred twenty-seven thousand, two hundred one".