5101977024 has 448 divisors, whose sum is σ = 16713768960. Its totient is φ = 1520640000.

The previous prime is 5101976951. The next prime is 5101977029. The reversal of 5101977024 is 4207791015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5101977024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101977029) 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, 50514574 + ... + 50514674.

It is an arithmetic number, because the mean of its divisors is an integer number (37307520).

Almost surely, 2^5101977024 is an apocalyptic number.

5101977024 is a gapful number since it is divisible by the number (54) 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 5101977024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356884480).

5101977024 is an abundant number, since it is smaller than the sum of its proper divisors (11611791936).

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

5101977024 is a wasteful number, since it uses less digits than its factorization.

5101977024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 5101977024 is about 71428.1248808899. The cubic root of 5101977024 is about 1721.5230137328.

The spelling of 5101977024 in words is "five billion, one hundred one million, nine hundred seventy-seven thousand, twenty-four".