10153541612257 has 2 divisors, whose sum is σ = 10153541612258. Its totient is φ = 10153541612256.

The previous prime is 10153541612233. The next prime is 10153541612341. The reversal of 10153541612257 is 75221614535101.

10153541612257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7497306610641 + 2656235001616 = 2738121^2 + 1629796^2 .

It is a cyclic number.

It is not a de Polignac number, because 10153541612257 - 2⁴³ = 1357448590049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10153541612657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5076770806128 + 5076770806129.

It is an arithmetic number, because the mean of its divisors is an integer number (5076770806129).

Almost surely, 2^{10153541612257} is an apocalyptic number.

It is an amenable number.

10153541612257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10153541612257 is an equidigital number, since it uses as much as digits as its factorization.

10153541612257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252000, while the sum is 43.

The spelling of 10153541612257 in words is "ten trillion, one hundred fifty-three billion, five hundred forty-one million, six hundred twelve thousand, two hundred fifty-seven".