551261700900 has 81 divisors (see below), whose sum is σ = 1727968995571. Its totient is φ = 146997180480.

The previous prime is 551261700883. The next prime is 551261700907. The reversal of 551261700900 is 9007162155.

The square root of 551261700900 is 742470.

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

551261700900 is a `hidden beast` number, since 551 + 2 + 6 + 17 + 0 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134338376484 + 416923324416 = 366522^2 + 645696^2 .

It is a super-2 number, since 2×551261700900² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (551261700907) 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, 22261726 + ... + 22286474.

Almost surely, 2^551261700900 is an apocalyptic number.

551261700900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

551261700900 is the 742470-th square number.

It is an amenable number.

551261700900 is an abundant number, since it is smaller than the sum of its proper divisors (1176707294671).

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

551261700900 is an equidigital number, since it uses as much as digits as its factorization.

551261700900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49518 (or 24759 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

Multiplying 551261700900 by its sum of digits (36), we get a square (19845421232400 = 4454820²).

551261700900 divided by its sum of digits (36) gives a square (15312825025 = 123745²).

It can be divided in two parts, 551261 and 700900, that added together give a square (1252161 = 1119²).

The spelling of 551261700900 in words is "five hundred fifty-one billion, two hundred sixty-one million, seven hundred thousand, nine hundred".