1551312000 has 896 divisors, whose sum is σ = 6956726400. Its totient is φ = 335923200.

The previous prime is 1551311963. The next prime is 1551312011. The reversal of 1551312000 is 2131551.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 111 ways as a sum of consecutive naturals, for example, 81647991 + ... + 81648009.

Almost surely, 2^1551312000 is an apocalyptic number.

1551312000 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 1551312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478363200).

1551312000 is an abundant number, since it is smaller than the sum of its proper divisors (5405414400).

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

1551312000 is an frugal number, since it uses more digits than its factorization.

1551312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1551312000 is about 39386.6982622306. The cubic root of 1551312000 is about 1157.6209664483.

Adding to 1551312000 its reverse (2131551), we get a palindrome (1553443551).

The spelling of 1551312000 in words is "one billion, five hundred fifty-one million, three hundred twelve thousand".