617133094952 has 192 divisors, whose sum is σ = 1385077747200. Its totient is φ = 256608000000.

The previous prime is 617133094943. The next prime is 617133094961. The reversal of 617133094952 is 259490331716.

It is an interprime number because it is at equal distance from previous prime (617133094943) and next prime (617133094961).

It is a self number, because there is not a number n which added to its sum of digits gives 617133094952.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342660452 + ... + 342662252.

It is an arithmetic number, because the mean of its divisors is an integer number (7213946600).

Almost surely, 2^617133094952 is an apocalyptic number.

617133094952 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617133094952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692538873600).

617133094952 is an abundant number, since it is smaller than the sum of its proper divisors (767944652248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

617133094952 is a wasteful number, since it uses less digits than its factorization.

617133094952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 50.

The spelling of 617133094952 in words is "six hundred seventeen billion, one hundred thirty-three million, ninety-four thousand, nine hundred fifty-two".