5130856900 has 243 divisors, whose sum is σ = 13178135061. Its totient is φ = 1732872960.

The previous prime is 5130856897. The next prime is 5130856963. The reversal of 5130856900 is 96580315.

The square root of 5130856900 is 71630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4746383236 + 384473664 = 68894^2 + 19608^2 .

It is a super-2 number, since 2×5130856900² = 52651385056555220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5130856900.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 176926086 + ... + 176926114.

Almost surely, 2^5130856900 is an apocalyptic number.

5130856900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5130856900 is the 71630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5130856900

5130856900 is an abundant number, since it is smaller than the sum of its proper divisors (8047278161).

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

5130856900 is a wasteful number, since it uses less digits than its factorization.

5130856900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The cubic root of 5130856900 is about 1724.7651462106.

Multiplying 5130856900 by its product of nonzero digits (32400), we get a square (166239763560000 = 12893400²).

The spelling of 5130856900 in words is "five billion, one hundred thirty million, eight hundred fifty-six thousand, nine hundred".