52061131315600 has 135 divisors (see below), whose sum is σ = 137485377482691. Its totient is φ = 18930743251200.

The previous prime is 52061131315579. The next prime is 52061131315607. The reversal of 52061131315600 is 651313116025.

The square root of 52061131315600 is 7215340.

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 15503339255184 + 36557792060416 = 3937428^2 + 6046304^2 .

It is a super-2 number, since 2×52061131315600² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52061131315607) 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, 1587358402 + ... + 1587391198.

Almost surely, 2^{52061131315600} is an apocalyptic number.

52061131315600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52061131315600 is the 7215340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52061131315600

52061131315600 is an abundant number, since it is smaller than the sum of its proper divisors (85424246167091).

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

52061131315600 is an frugal number, since it uses more digits than its factorization.

52061131315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65634 (or 32815 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 52061131315600 in words is "fifty-two trillion, sixty-one billion, one hundred thirty-one million, three hundred fifteen thousand, six hundred".