10155610061057 has 32 divisors (see below), whose sum is σ = 11026804194720. Its totient is φ = 9317998264320.

The previous prime is 10155610060997. The next prime is 10155610061071. The reversal of 10155610061057 is 75016001655101.

It can be written as a sum of positive squares in 16 ways, for example, as 7170607484401 + 2985002576656 = 2677799^2 + 1727716^2 .

It is not a de Polignac number, because 10155610061057 - 2¹⁴ = 10155610044673 is a prime.

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 10155610061057.

It is not an unprimeable number, because it can be changed into a prime (10155610061087) 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 31 ways as a sum of consecutive naturals, for example, 53743613 + ... + 53932245.

It is an arithmetic number, because the mean of its divisors is an integer number (344587631085).

Almost surely, 2^{10155610061057} is an apocalyptic number.

10155610061057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10155610061057 is a deficient number, since it is larger than the sum of its proper divisors (871194133663).

10155610061057 is a wasteful number, since it uses less digits than its factorization.

10155610061057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189173.

The product of its (nonzero) digits is 31500, while the sum is 38.

The spelling of 10155610061057 in words is "ten trillion, one hundred fifty-five billion, six hundred ten million, sixty-one thousand, fifty-seven".