553149000 has 160 divisors (see below), whose sum is σ = 1933846200. Its totient is φ = 147484800.

The previous prime is 553148993. The next prime is 553149007. The reversal of 553149000 is 941355.

It is an interprime number because it is at equal distance from previous prime (553148993) and next prime (553149007).

It can be written as a sum of positive squares in 4 ways, for example, as 173132964 + 380016036 = 13158^2 + 19494^2 .

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

It is not an unprimeable number, because it can be changed into a prime (553149007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77586 + ... + 84414.

Almost surely, 2^553149000 is an apocalyptic number.

553149000 is a gapful number since it is divisible by the number (50) 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 553149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966923100).

553149000 is an abundant number, since it is smaller than the sum of its proper divisors (1380697200).

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

553149000 is a wasteful number, since it uses less digits than its factorization.

553149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 553149000 is about 23519.1198814922. The cubic root of 553149000 is about 820.8819580621.

The spelling of 553149000 in words is "five hundred fifty-three million, one hundred forty-nine thousand".