157106853372661 has 2 divisors, whose sum is σ = 157106853372662. Its totient is φ = 157106853372660.

The previous prime is 157106853372611. The next prime is 157106853372691. The reversal of 157106853372661 is 166273358601751.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97679421224100 + 59427432148561 = 9883290^2 + 7708919^2 .

It is a cyclic number.

It is not a de Polignac number, because 157106853372661 - 2¹⁷ = 157106853241589 is a prime.

It is a super-3 number, since 3×157106853372661³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157106853372661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (157106853372611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78553426686330 + 78553426686331.

It is an arithmetic number, because the mean of its divisors is an integer number (78553426686331).

Almost surely, 2^{157106853372661} is an apocalyptic number.

It is an amenable number.

157106853372661 is a deficient number, since it is larger than the sum of its proper divisors (1).

157106853372661 is an equidigital number, since it uses as much as digits as its factorization.

157106853372661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 157106853372661 in words is "one hundred fifty-seven trillion, one hundred six billion, eight hundred fifty-three million, three hundred seventy-two thousand, six hundred sixty-one".