125623278731 has 2 divisors, whose sum is σ = 125623278732. Its totient is φ = 125623278730.

The previous prime is 125623278661. The next prime is 125623278733. The reversal of 125623278731 is 137872326521.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 125623278731 - 2²² = 125619084427 is a prime.

It is a super-3 number, since 3×125623278731³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 125623278733, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (125623278733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62811639365 + 62811639366.

It is an arithmetic number, because the mean of its divisors is an integer number (62811639366).

Almost surely, 2^125623278731 is an apocalyptic number.

125623278731 is a deficient number, since it is larger than the sum of its proper divisors (1).

125623278731 is an equidigital number, since it uses as much as digits as its factorization.

125623278731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 846720, while the sum is 47.

The spelling of 125623278731 in words is "one hundred twenty-five billion, six hundred twenty-three million, two hundred seventy-eight thousand, seven hundred thirty-one".