5331619540900 has 81 divisors (see below), whose sum is σ = 11631219351843. Its totient is φ = 2121352041600.

The previous prime is 5331619540823. The next prime is 5331619540993. The reversal of 5331619540900 is 90459161335.

The square root of 5331619540900 is 2309030.

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 1049997793636 + 4281621747264 = 1024694^2 + 2069208^2 .

It is a super-3 number, since 3×5331619540900³ (a number of 39 digits) contains 333 as substring.

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, 5380039405 + ... + 5380040395.

Almost surely, 2^{5331619540900} is an apocalyptic number.

5331619540900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5331619540900 is the 2309030-th square number.

It is an amenable number.

5331619540900 is an abundant number, since it is smaller than the sum of its proper divisors (6299599810943).

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

5331619540900 is an frugal number, since it uses more digits than its factorization.

5331619540900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 46.

The spelling of 5331619540900 in words is "five trillion, three hundred thirty-one billion, six hundred nineteen million, five hundred forty thousand, nine hundred".