617252516370 has 384 divisors, whose sum is σ = 1996050988800. Its totient is φ = 135170380800.

The previous prime is 617252516339. The next prime is 617252516383. The reversal of 617252516370 is 73615252716.

It is a happy number.

617252516370 is a `hidden beast` number, since 6 + 1 + 7 + 2 + 5 + 2 + 5 + 1 + 637 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50254630 + ... + 50266910.

It is an arithmetic number, because the mean of its divisors is an integer number (5198049450).

Almost surely, 2^617252516370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617252516370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998025494400).

617252516370 is an abundant number, since it is smaller than the sum of its proper divisors (1378798472430).

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

617252516370 is a wasteful number, since it uses less digits than its factorization.

617252516370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12471 (or 12458 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 617252516370 in words is "six hundred seventeen billion, two hundred fifty-two million, five hundred sixteen thousand, three hundred seventy".