5005101011004 has 72 divisors (see below), whose sum is σ = 12829625473392. Its totient is φ = 1644931411200.

The previous prime is 5005101010969. The next prime is 5005101011011. The reversal of 5005101011004 is 4001101015005.

It is a happy number.

5005101011004 is a `hidden beast` number, since 50 + 0 + 510 + 1 + 0 + 1 + 100 + 4 = 666.

It is a super-2 number, since 2×5005101011004² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7136454 + ... + 7806354.

It is an arithmetic number, because the mean of its divisors is an integer number (178189242686).

Almost surely, 2^{5005101011004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005101011004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414812736696).

5005101011004 is an abundant number, since it is smaller than the sum of its proper divisors (7824524462388).

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

5005101011004 is a wasteful number, since it uses less digits than its factorization.

5005101011004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672827 (or 672822 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 5005101011004 its reverse (4001101015005), we get a palindrome (9006202026009).

The spelling of 5005101011004 in words is "five trillion, five billion, one hundred one million, eleven thousand, four".