1019150820900 has 189 divisors, whose sum is σ = 3316706135841. Its totient is φ = 271700866080.

The previous prime is 1019150820881. The next prime is 1019150820901. The reversal of 1019150820900 is 90280519101.

The square root of 1019150820900 is 1009530.

It is a perfect power (a square), and thus also a powerful number.

1019150820900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 366894295524 + 652256525376 = 605718^2 + 807624^2 .

It is a super-2 number, since 2×1019150820900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1019150820901) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 272571231 + ... + 272574969.

Almost surely, 2^{1019150820900} is an apocalyptic number.

1019150820900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1019150820900 is the 1009530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1019150820900

1019150820900 is an abundant number, since it is smaller than the sum of its proper divisors (2297555314941).

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

1019150820900 is an frugal number, since it uses more digits than its factorization.

1019150820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7510 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

Multiplying 1019150820900 by its sum of digits (36), we get a square (36689429552400 = 6057180²).

1019150820900 divided by its sum of digits (36) gives a square (28309745025 = 168255²).

The spelling of 1019150820900 in words is "one trillion, nineteen billion, one hundred fifty million, eight hundred twenty thousand, nine hundred".