5077251072 has 220 divisors, whose sum is σ = 15541863876. Its totient is φ = 1650032640.

The previous prime is 5077251061. The next prime is 5077251073. The reversal of 5077251072 is 2701527705.

5077251072 is a `hidden beast` number, since 5 + 0 + 7 + 72 + 510 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2176782336 + 2900468736 = 46656^2 + 53856^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077251073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3399958 + ... + 3401450.

Almost surely, 2^5077251072 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 5077251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770931938).

5077251072 is an abundant number, since it is smaller than the sum of its proper divisors (10464612804).

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

5077251072 is a wasteful number, since it uses less digits than its factorization.

5077251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 5077251072 is about 71254.8319203687. The cubic root of 5077251072 is about 1718.7374762424.

Adding to 5077251072 its reverse (2701527705), we get a palindrome (7778778777).

The spelling of 5077251072 in words is "five billion, seventy-seven million, two hundred fifty-one thousand, seventy-two".