5251127904 has 288 divisors, whose sum is σ = 17146715040. Its totient is φ = 1509580800.

The previous prime is 5251127863. The next prime is 5251127911. The reversal of 5251127904 is 4097211525.

5251127904 is a `hidden beast` number, since 52 + 511 + 2 + 7 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5603724 + ... + 5604660.

It is an arithmetic number, because the mean of its divisors is an integer number (59537205).

Almost surely, 2^5251127904 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 5251127904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573357520).

5251127904 is an abundant number, since it is smaller than the sum of its proper divisors (11895587136).

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

5251127904 is a wasteful number, since it uses less digits than its factorization.

5251127904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5251127904 is about 72464.6665900010. Note that the first 3 decimals coincide. The cubic root of 5251127904 is about 1738.1377777963.

The spelling of 5251127904 in words is "five billion, two hundred fifty-one million, one hundred twenty-seven thousand, nine hundred four".