1045561500 has 192 divisors, whose sum is σ = 3467318400. Its totient is φ = 271872000.

The previous prime is 1045561441. The next prime is 1045561511. The reversal of 1045561500 is 51655401.

It is a happy number.

1045561500 is a `hidden beast` number, since 1 + 0 + 45 + 5 + 615 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552556 + ... + 554444.

It is an arithmetic number, because the mean of its divisors is an integer number (18058950).

Almost surely, 2^1045561500 is an apocalyptic number.

1045561500 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 1045561500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733659200).

1045561500 is an abundant number, since it is smaller than the sum of its proper divisors (2421756900).

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

1045561500 is a wasteful number, since it uses less digits than its factorization.

1045561500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1045561500 is about 32335.1434201242. The cubic root of 1045561500 is about 1014.9621832271.

The spelling of 1045561500 in words is "one billion, forty-five million, five hundred sixty-one thousand, five hundred".