125025553350351 has 16 divisors (see below), whose sum is σ = 185284762561120. Its totient is φ = 83322594648000.

The previous prime is 125025553350337. The next prime is 125025553350389. The reversal of 125025553350351 is 153053355520521.

125025553350351 is a `hidden beast` number, since 1 + 25 + 0 + 25 + 5 + 53 + 3 + 503 + 51 = 666.

It is not a de Polignac number, because 125025553350351 - 2¹¹ = 125025553348303 is a prime.

It is a super-2 number, since 2×125025553350351² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 125025553350297 and 125025553350306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125025553330351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771424480 + ... + 771586533.

It is an arithmetic number, because the mean of its divisors is an integer number (11580297660070).

Almost surely, 2^{125025553350351} is an apocalyptic number.

125025553350351 is a deficient number, since it is larger than the sum of its proper divisors (60259209210769).

125025553350351 is a wasteful number, since it uses less digits than its factorization.

125025553350351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543014023 (or 1543014017 counting only the distinct ones).

The product of its (nonzero) digits is 1687500, while the sum is 45.

The spelling of 125025553350351 in words is "one hundred twenty-five trillion, twenty-five billion, five hundred fifty-three million, three hundred fifty thousand, three hundred fifty-one".