1047513600 has 480 divisors, whose sum is σ = 4404301440. Its totient is φ = 238878720.

The previous prime is 1047513589. The next prime is 1047513617. The reversal of 1047513600 is 63157401.

1047513600 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 51 + 3 + 600 = 666.

1047513600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418984 + ... + 2419416.

It is an arithmetic number, because the mean of its divisors is an integer number (9175628).

Almost surely, 2^1047513600 is an apocalyptic number.

1047513600 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 1047513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202150720).

1047513600 is an abundant number, since it is smaller than the sum of its proper divisors (3356787840).

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

1047513600 is an equidigital number, since it uses as much as digits as its factorization.

1047513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1047513600 is about 32365.3147675100. The cubic root of 1047513600 is about 1015.5934471933.

The spelling of 1047513600 in words is "one billion, forty-seven million, five hundred thirteen thousand, six hundred".