1251061600 has 72 divisors (see below), whose sum is σ = 3061210320. Its totient is φ = 499269120.

The previous prime is 1251061597. The next prime is 1251061601. The reversal of 1251061600 is 61601521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251061601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400846 + ... + 403954.

It is an arithmetic number, because the mean of its divisors is an integer number (42516810).

Almost surely, 2^1251061600 is an apocalyptic number.

1251061600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530605160).

1251061600 is an abundant number, since it is smaller than the sum of its proper divisors (1810148720).

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

1251061600 is a wasteful number, since it uses less digits than its factorization.

1251061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1251061600 is about 35370.3491642364. The cubic root of 1251061600 is about 1077.5222117754.

The spelling of 1251061600 in words is "one billion, two hundred fifty-one million, sixty-one thousand, six hundred".