5211257040 has 480 divisors, whose sum is σ = 20012052480. Its totient is φ = 1245404160.

The previous prime is 5211256949. The next prime is 5211257057. The reversal of 5211257040 is 407521125.

5211257040 is a `hidden beast` number, since 52 + 1 + 1 + 2 + 570 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5211256995 and 5211257013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33192642 + ... + 33192798.

It is an arithmetic number, because the mean of its divisors is an integer number (41691776).

Almost surely, 2^5211257040 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 5211257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10006026240).

5211257040 is an abundant number, since it is smaller than the sum of its proper divisors (14800795440).

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

5211257040 is a wasteful number, since it uses less digits than its factorization.

5211257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5211257040 is about 72189.0368407835. The cubic root of 5211257040 is about 1733.7274748009.

Adding to 5211257040 its reverse (407521125), we get a palindrome (5618778165).

The spelling of 5211257040 in words is "five billion, two hundred eleven million, two hundred fifty-seven thousand, forty".