1019122554256 has 45 divisors (see below), whose sum is σ = 2064320682529. Its totient is φ = 487362020288.

The previous prime is 1019122554239. The next prime is 1019122554283. The reversal of 1019122554256 is 6524552219101.

The square root of 1019122554256 is 1009516.

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

It can be written as a sum of positive squares in only one way, i.e., 573988064400 + 445134489856 = 757620^2 + 667184^2 .

It is a super-2 number, since 2×1019122554256² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 92869986 + ... + 92880958.

Almost surely, 2^{1019122554256} is an apocalyptic number.

1019122554256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1019122554256 is the 1009516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1019122554256

1019122554256 is an abundant number, since it is smaller than the sum of its proper divisors (1045198128273).

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

1019122554256 is an frugal number, since it uses more digits than its factorization.

1019122554256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22000 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 43.

The spelling of 1019122554256 in words is "one trillion, nineteen billion, one hundred twenty-two million, five hundred fifty-four thousand, two hundred fifty-six".