536512300900 has 81 divisors (see below), whose sum is σ = 1178892359211. Its totient is φ = 211935799680.

The previous prime is 536512300889. The next prime is 536512300939. The reversal of 536512300900 is 9003215635.

It is a happy number.

The square root of 536512300900 is 732470.

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

It can be written as a sum of positive squares in 4 ways, for example, as 111648203044 + 424864097856 = 334138^2 + 651816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 651897889 + ... + 651898711.

Almost surely, 2^536512300900 is an apocalyptic number.

536512300900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

536512300900 is the 732470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536512300900

536512300900 is an abundant number, since it is smaller than the sum of its proper divisors (642380058311).

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

536512300900 is an frugal number, since it uses more digits than its factorization.

536512300900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 34.

The spelling of 536512300900 in words is "five hundred thirty-six billion, five hundred twelve million, three hundred thousand, nine hundred".