5017761000 has 512 divisors, whose sum is σ = 20127744000. Its totient is φ = 1132704000.

The previous prime is 5017760999. The next prime is 5017761013. The reversal of 5017761000 is 1677105.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26270905 + ... + 26271095.

It is an arithmetic number, because the mean of its divisors is an integer number (39312000).

Almost surely, 2^5017761000 is an apocalyptic number.

5017761000 is a gapful number since it is divisible by the number (50) 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 5017761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063872000).

5017761000 is an abundant number, since it is smaller than the sum of its proper divisors (15109983000).

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

5017761000 is a wasteful number, since it uses less digits than its factorization.

5017761000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 5017761000 is about 70836.1560221897. The cubic root of 5017761000 is about 1711.9982795059.

The spelling of 5017761000 in words is "five billion, seventeen million, seven hundred sixty-one thousand".