1461125300 has 36 divisors (see below), whose sum is σ = 3172362060. Its totient is φ = 584133120.

The previous prime is 1461125291. The next prime is 1461125363. The reversal of 1461125300 is 35211641.

It can be written as a sum of positive squares in 6 ways, for example, as 68492176 + 1392633124 = 8276^2 + 37318^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289196 + ... + 294204.

Almost surely, 2^1461125300 is an apocalyptic number.

1461125300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461125300 is an abundant number, since it is smaller than the sum of its proper divisors (1711236760).

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

1461125300 is a wasteful number, since it uses less digits than its factorization.

1461125300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940 (or 7933 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1461125300 is about 38224.6687363017. The cubic root of 1461125300 is about 1134.7385788758.

Adding to 1461125300 its reverse (35211641), we get a palindrome (1496336941).

The spelling of 1461125300 in words is "one billion, four hundred sixty-one million, one hundred twenty-five thousand, three hundred".