125564561058319 has 2 divisors, whose sum is σ = 125564561058320. Its totient is φ = 125564561058318.

The previous prime is 125564561058239. The next prime is 125564561058337. The reversal of 125564561058319 is 913850165465521.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 125564561058319 - 2²¹ = 125564558961167 is a prime.

It is a super-4 number, since 4×125564561058319⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125564561058119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62782280529159 + 62782280529160.

It is an arithmetic number, because the mean of its divisors is an integer number (62782280529160).

Almost surely, 2^{125564561058319} is an apocalyptic number.

125564561058319 is a deficient number, since it is larger than the sum of its proper divisors (1).

125564561058319 is an equidigital number, since it uses as much as digits as its factorization.

125564561058319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880000, while the sum is 61.

The spelling of 125564561058319 in words is "one hundred twenty-five trillion, five hundred sixty-four billion, five hundred sixty-one million, fifty-eight thousand, three hundred nineteen".