1261505200 has 30 divisors (see below), whose sum is σ = 3030767204. Its totient is φ = 504601920.

The previous prime is 1261505197. The next prime is 1261505207. The reversal of 1261505200 is 25051621.

It is not an unprimeable number, because it can be changed into a prime (1261505207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1576482 + ... + 1577281.

Almost surely, 2^1261505200 is an apocalyptic number.

1261505200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1261505200 is an abundant number, since it is smaller than the sum of its proper divisors (1769262004).

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

1261505200 is a wasteful number, since it uses less digits than its factorization.

1261505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153781 (or 3153770 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1261505200 is about 35517.6744734224. The cubic root of 1261505200 is about 1080.5122170207.

Adding to 1261505200 its reverse (25051621), we get a palindrome (1286556821).

The spelling of 1261505200 in words is "one billion, two hundred sixty-one million, five hundred five thousand, two hundred".