34125144250331 has 8 divisors (see below), whose sum is σ = 34398803661600. Its totient is φ = 33851840937408.

The previous prime is 34125144250201. The next prime is 34125144250339. The reversal of 34125144250331 is 13305244152143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34125144250331 - 2¹⁰ = 34125144249307 is a prime.

It is a super-2 number, since 2×34125144250331² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34125144250339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88832156 + ... + 89215481.

It is an arithmetic number, because the mean of its divisors is an integer number (4299850457700).

Almost surely, 2^{34125144250331} is an apocalyptic number.

34125144250331 is a deficient number, since it is larger than the sum of its proper divisors (273659411269).

34125144250331 is a wasteful number, since it uses less digits than its factorization.

34125144250331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178049173.

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 34125144250331 in words is "thirty-four trillion, one hundred twenty-five billion, one hundred forty-four million, two hundred fifty thousand, three hundred thirty-one".