1055505601000 has 32 divisors (see below), whose sum is σ = 2469883108680. Its totient is φ = 422202240000.

The previous prime is 1055505600983. The next prime is 1055505601001. The reversal of 1055505601000 is 1065055501.

It can be written as a sum of positive squares in 4 ways, for example, as 667917176644 + 387588424356 = 817262^2 + 622566^2 .

It is a super-3 number, since 3×1055505601000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1055505601000.

It is not an unprimeable number, because it can be changed into a prime (1055505601001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527751801 + ... + 527753800.

Almost surely, 2^{1055505601000} is an apocalyptic number.

1055505601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055505601000 is an abundant number, since it is smaller than the sum of its proper divisors (1414377507680).

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

1055505601000 is a wasteful number, since it uses less digits than its factorization.

1055505601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055505622 (or 1055505608 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 1055505601000 in words is "one trillion, fifty-five billion, five hundred five million, six hundred one thousand".