561465476100 has 81 divisors (see below), whose sum is σ = 1759952805247. Its totient is φ = 149718132480.

The previous prime is 561465476093. The next prime is 561465476107. The reversal of 561465476100 is 1674564165.

The square root of 561465476100 is 749310.

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

561465476100 is a `hidden beast` number, since 5 + 6 + 1 + 46 + 547 + 61 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (561465476093) and next prime (561465476107).

It can be written as a sum of positive squares in 4 ways, for example, as 284983010244 + 276482465856 = 533838^2 + 525816^2 .

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 (561465476107) 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, 22466812 + ... + 22491788.

Almost surely, 2^561465476100 is an apocalyptic number.

561465476100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

561465476100 is the 749310-th square number.

It is an amenable number.

561465476100 is an abundant number, since it is smaller than the sum of its proper divisors (1198487329147).

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

561465476100 is an equidigital number, since it uses as much as digits as its factorization.

561465476100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49974 (or 24987 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 561465476100 in words is "five hundred sixty-one billion, four hundred sixty-five million, four hundred seventy-six thousand, one hundred".