10205500157251 has 16 divisors (see below), whose sum is σ = 11670410589120. Its totient is φ = 8742335875200.

The previous prime is 10205500157249. The next prime is 10205500157327. The reversal of 10205500157251 is 15275100550201.

It is a cyclic number.

It is not a de Polignac number, because 10205500157251 - 2¹ = 10205500157249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10205509157251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335813565 + ... + 335843953.

It is an arithmetic number, because the mean of its divisors is an integer number (729400661820).

Almost surely, 2^{10205500157251} is an apocalyptic number.

10205500157251 is a deficient number, since it is larger than the sum of its proper divisors (1464910431869).

10205500157251 is a wasteful number, since it uses less digits than its factorization.

10205500157251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57534.

The product of its (nonzero) digits is 17500, while the sum is 34.

The spelling of 10205500157251 in words is "ten trillion, two hundred five billion, five hundred million, one hundred fifty-seven thousand, two hundred fifty-one".