261499276900 has 27 divisors (see below), whose sum is σ = 567464527819. Its totient is φ = 104597665280.

The previous prime is 261499276889. The next prime is 261499276921. The reversal of 261499276900 is 9672994162.

The square root of 261499276900 is 511370.

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 33924482596 + 227574794304 = 184186^2 + 477048^2 .

It is a super-2 number, since 2×261499276900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5088132 + ... + 5139268.

Almost surely, 2^261499276900 is an apocalyptic number.

261499276900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

261499276900 is the 511370-th square number.

It is an amenable number.

261499276900 is an abundant number, since it is smaller than the sum of its proper divisors (305965250919).

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

261499276900 is an frugal number, since it uses more digits than its factorization.

261499276900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102288 (or 51144 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 261499276900 in words is "two hundred sixty-one billion, four hundred ninety-nine million, two hundred seventy-six thousand, nine hundred".