52315855020900 has 243 divisors, whose sum is σ = 164688117008779. Its totient is φ = 13891005680640.

The previous prime is 52315855020887. The next prime is 52315855020901. The reversal of 52315855020900 is 902055851325.

It is a happy number.

The square root of 52315855020900 is 7232970.

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

52315855020900 is a `hidden beast` number, since 5 + 2 + 3 + 1 + 5 + 8 + 550 + 2 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2864468240676 + 49451386780224 = 1692474^2 + 7032168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52315855020901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 76597151959 + ... + 76597152641.

Almost surely, 2^{52315855020900} is an apocalyptic number.

52315855020900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52315855020900 is the 7232970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52315855020900

52315855020900 is an abundant number, since it is smaller than the sum of its proper divisors (112372261987879).

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

52315855020900 is an equidigital number, since it uses as much as digits as its factorization.

52315855020900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 52315855020900 in words is "fifty-two trillion, three hundred fifteen billion, eight hundred fifty-five million, twenty thousand, nine hundred".