157625506561 has 2 divisors, whose sum is σ = 157625506562. Its totient is φ = 157625506560.

The previous prime is 157625506543. The next prime is 157625506637. The reversal of 157625506561 is 165605526751.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 153613044225 + 4012462336 = 391935^2 + 63344^2 .

It is a cyclic number.

It is not a de Polignac number, because 157625506561 - 2¹¹ = 157625504513 is a prime.

It is a super-2 number, since 2×157625506561² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (157625506541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78812753280 + 78812753281.

It is an arithmetic number, because the mean of its divisors is an integer number (78812753281).

Almost surely, 2^157625506561 is an apocalyptic number.

It is an amenable number.

157625506561 is a deficient number, since it is larger than the sum of its proper divisors (1).

157625506561 is an equidigital number, since it uses as much as digits as its factorization.

157625506561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890000, while the sum is 49.

The spelling of 157625506561 in words is "one hundred fifty-seven billion, six hundred twenty-five million, five hundred six thousand, five hundred sixty-one".