1540053000 has 160 divisors (see below), whose sum is σ = 5383623960. Its totient is φ = 410659200.

The previous prime is 1540052993. The next prime is 1540053017. The reversal of 1540053000 is 3500451.

It can be written as a sum of positive squares in 4 ways, for example, as 52099524 + 1487953476 = 7218^2 + 38574^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71494 + ... + 90506.

Almost surely, 2^1540053000 is an apocalyptic number.

1540053000 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 1540053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691811980).

1540053000 is an abundant number, since it is smaller than the sum of its proper divisors (3843570960).

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

1540053000 is a wasteful number, since it uses less digits than its factorization.

1540053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19046 (or 19023 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1540053000 is about 39243.5090174159. The cubic root of 1540053000 is about 1154.8135978492.

Adding to 1540053000 its reverse (3500451), we get a palindrome (1543553451).

The spelling of 1540053000 in words is "one billion, five hundred forty million, fifty-three thousand".