510038788900 has 81 divisors (see below), whose sum is σ = 1175998759257. Its totient is φ = 191968896000.

The previous prime is 510038788859. The next prime is 510038788907. The reversal of 510038788900 is 9887830015.

The square root of 510038788900 is 714170.

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 434826823396 + 75211965504 = 659414^2 + 274248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (510038788907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 121406800 + ... + 121411000.

Almost surely, 2^510038788900 is an apocalyptic number.

510038788900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

510038788900 is the 714170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510038788900

510038788900 is an abundant number, since it is smaller than the sum of its proper divisors (665959970357).

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

510038788900 is an equidigital number, since it uses as much as digits as its factorization.

510038788900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

Multiplying 510038788900 by its sum of digits (49), we get a square (24991900656100 = 4999190²).

The spelling of 510038788900 in words is "five hundred ten billion, thirty-eight million, seven hundred eighty-eight thousand, nine hundred".