1675103770564 has 81 divisors (see below), whose sum is σ = 3434963869197. Its totient is φ = 712690933248.

The previous prime is 1675103770559. The next prime is 1675103770573. The reversal of 1675103770564 is 4650773015761.

The square root of 1675103770564 is 1294258.

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., 405858184900 + 1269245585664 = 637070^2 + 1126608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3497084877 + ... + 3497085355.

Almost surely, 2^{1675103770564} is an apocalyptic number.

1675103770564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1675103770564 is the 1294258-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1675103770564

1675103770564 is an abundant number, since it is smaller than the sum of its proper divisors (1759860098633).

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

1675103770564 is an frugal number, since it uses more digits than its factorization.

1675103770564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 52.

The spelling of 1675103770564 in words is "one trillion, six hundred seventy-five billion, one hundred three million, seven hundred seventy thousand, five hundred sixty-four".