5130254976 has 512 divisors, whose sum is σ = 18236620800. Its totient is φ = 1238630400.

The previous prime is 5130254953. The next prime is 5130254977. The reversal of 5130254976 is 6794520315.

It is a super-2 number, since 2×5130254976² = 52639032237545521152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5130254977) 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, 26581536 + ... + 26581728.

It is an arithmetic number, because the mean of its divisors is an integer number (35618400).

Almost surely, 2^5130254976 is an apocalyptic number.

5130254976 is a gapful number since it is divisible by the number (56) 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 5130254976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9118310400).

5130254976 is an abundant number, since it is smaller than the sum of its proper divisors (13106365824).

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

5130254976 is a wasteful number, since it uses less digits than its factorization.

5130254976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 5130254976 is about 71625.7982573318. The cubic root of 5130254976 is about 1724.6976969095.

The spelling of 5130254976 in words is "five billion, one hundred thirty million, two hundred fifty-four thousand, nine hundred seventy-six".