617000945096251 has 64 divisors (see below), whose sum is σ = 638364665917440. Its totient is φ = 596102598000000.

The previous prime is 617000945096243. The next prime is 617000945096279. The reversal of 617000945096251 is 152690549000716.

It is a cyclic number.

It is not a de Polignac number, because 617000945096251 - 2³ = 617000945096243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 617000945096192 and 617000945096201.

It is not an unprimeable number, because it can be changed into a prime (617000945096231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425224634076 + ... + 425224635526.

It is an arithmetic number, because the mean of its divisors is an integer number (9974447904960).

Almost surely, 2^{617000945096251} is an apocalyptic number.

617000945096251 is a deficient number, since it is larger than the sum of its proper divisors (21363720821189).

617000945096251 is a wasteful number, since it uses less digits than its factorization.

617000945096251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848.

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 617000945096251 in words is "six hundred seventeen trillion, nine hundred forty-five million, ninety-six thousand, two hundred fifty-one".